; 


E7fl    TOM 


CO 

O 


CQ 

>- 


'CANBUdKCOMWlNY 


G.  A.  SHERMAN, 

Druggist  and  Stationer, 
Main  St.,    -    Martinez,  Cal. 


LIBRARY 

OF  THE 

UNIVERSITY  OF  CALIFORNIA. 


Received 
Accession  No.  &  7 


.    Class  No. 


3  If. 


ECLECTIC  EDUCATIONAL   SERIES. 


KAY'S  NEW 


TEST  EXAMPLES 


IN 


ARITHMETIC 


BY 


.  DE  BECK,  A.  M. 


NEW-YORK     •:•     CINCINNATI     •:•     CHICAGO 

AMERICAN    BOOK    COMPANY 

FROM  THE  PKESS  OF 
VAN   ANTWERP,   BRAGG,  <fe  CO. 


RAY'S  MATHEMATICAL  SERIES. 


REGULAR   SERIES. 

jRay's  New  Primary  Arithmetic. 

Ray's  Nei.u  Intellectual  Arithmetic. 

Ray*s  New  Practical  Arithmetic. 

Ray's  New  Higher  Arithmetic. 

Ray's  New  Test  Examples. 

Ray's  New  Elementary  Algebra. 

Rav'  s  Neiu  Higher  Algebra. 

Ray's   Test  Problems  in  Algebra. 

Ray's  Plane  and  Solid  Geometry. 

Ray's   Geometry  and   Trigonometry. 

Ray's  Analytic   Geometry. 

Ray's  Elements  of  Astronomy. 

Ray's  Surveying  and  Navigation. 

Ray'  s  Differential  and  Integral  Calczilus, 

TWO-BOOK    SERIES    IN    ARITHMETIC. 

Ray's  New  Elementary  Arithmetic. 
Ray's  New  Practical  Arithmetic. 

KEYS   ON    APPLICATION   TO    THE    PUBLISHERS. 


COPYRIGHT, 

1883, 
BY  VAN  ANTWERP,  BRAGG  &  Co. 


^clectic  Ijress: 

VAN   ANTWERP,    BRAGG  &  CO.,   CINCINNATI. 


PEEFAOE. 


THIS  revised  and  enlarged  edition  of  Test  Examples 
is  now  respectfully  presented  to  the  teachers  of  our 
country. 

It  is  confidently  believed  that  it  will  furnish  them  the 
necessary  number  and  variety  of  exercises  essential  to 
successful  instruction  in  arithmetic. 

While  the  difficulties  likely  to  be  encountered  in  school 
and  ordinary  business  will  be  found  here  presented,  all 
mere  puzzles  have  been  carefully  excluded. 

No  example  has  been  introduced  which  the  average 
pupil  can  not  solve  without  assistance,  and  no  solid  pro- 
gress can  be  expected  unless  this  is  required. 

The  examples  in  each  article  have  been  carefully 
graded,  the  first  few  being  suited  to  very  young  pupils, 
while  the  last  half  would  furnish  work  for  advanced 
pupils,  whose  time  is  limited. 


iv  PREFACE. 

Attention  is  called  to  examples  occurring  in  pairs, 
where  a  slight  variation  in  statement  changes  the  nature 
of  the  problem. 

In  each  article  the  number  of  examples  presented  is 
made  to  depend  upon  the  difficulty  and  importance  of 
the  particular  subject  presented. 


B.  O.  M.  DE  BECK. 


CINCINNATI, 
December,  1883. 


CONTENTS 


PAGR. 

Simple  Numbers          ........  7 

United  States  Money          .......  35 

Reduction 44 

Compound  Numbers 57 

Longitude  and  Time 65 

Factoring     .                                  ,  66 

Fractions ,  69 

Decimal  Fractions       ........  87 

The  Metric  System     .                 95 

Percentage            ....                 ....  98 

Interest Ill 

Discount      .                 122 

Insurance 127 

Taxes 128 

Ratio    o 132 

Proportion    ..........  134 

Involution 146 

Evolution 147 

Mensuration 150 

Progressions         .         .        .        .         .        .        .        .        .  158 

Miscellaneous  Examples     .                 161 

Answers        ...                                 ,  189 


(v) 


TEST  EXAMPLES. 


NOTATION. 

ARTICLE  11. 

Numbers  to  be  Written  : 

1.  Nineteen.     Ninety.     Ninety-nine. 

2.  Five  hundred  and  two. 

3.  Three  hundred  and  sixty-seven. 

4.  Nine  hundred.     Nine  hundred  and  twenty. 

5.  Four  thousand  and  seven. 

6.  Four  thousand  and  seventy. 

7.  Four  thousand  and  seventy-seven. 

8.  Nine  thousand  six  hundred  and  five. 

9.  Eight  thousand  four  hundred  and  twenty. 

10.  Seven  thousand  six  hundred  and  fifty-four. 

11.  Ten  thousand.     Ten  thousand  and  ten. 

12.  Forty  thousand  and  seventeen. 

13.  Fourteen  thousand  and  seventy. 

14.  Eighty-seven  thousand. 

15.  Twelve  thousand  and  forty-one. 

16.  Ninety-one  thousand  two  hundred. 

17.  Sixty  thousand  three  hundred  and  forty. 

18.  Sixteen  thousand  three  hundred  and  fourteen. 

19.  Fifty-five  thousand  and  fifty-five. 

(7) 


8  KAY'S   NEW  TEST   EXAMPLES. 

20.  Ninety  thousand  nine  hundred  and  one. 

21.  Forty-eight  thousand  and  six. 

22.  Eleven  thousand  seven  hundred. 

23.  Thirty  thousand  and  thirty. 

24.  Twenty-one  thousand  one  hundred  and  seven. 

25.  Eighty  thousand  and  eight. 

26.  Sixty-nine  thousand  four  hundred  and  seventy. 

27.  Seventy  thousand  two  hundred  and  eighty. 

28.  Fifty  thousand  six  hundred. 

29.  Nineteen  thousand  nine  hundred  and  twenty-three. 

30.  Two  hundred  and  twenty-five  thousand  seven  hun- 
dred and  ninety-one. 

31.  Two   hundred   and   five   thousand   seven   hundred 
and  one. 

32.  Six  hundred  and  eighty  thousand. 

33.  Three  hundred  thousand  and  eighty. 

34.  Eight   hundred  and   four  thousand  nine  hundred. 

35.  One  hundred  and  nine  thousand. 

36.  Four  hundred  thousand  nine  hundred. 

37.  Five  hundred  thousand  and  thirty-one. 

38.  Seven  hundred  and  five  thousand  five  hundred  and 
seven. 

39.  Four  hundred  thousand  and  ninety. 

40.  Two  hundred  thousand  two  hundred  and  two. 

41.  Nine  hundred  and  eleven  thousand  and  twenty. 

42.  One    hundred    and    eighty-seven     thousand     and 
thirty. 

43.  One  hundred  and  eighty-seven  thousand  and  three. 

44.  Six  hundred  thousand  three  hundred  and  twenty. 

45.  One  hundred  and  two  thousand  and  three. 

46.  Nine  hundred  and  eighty-seven  thousand. 

47.  Eight  hundred  thousand  arid  one. 

48.  Seven  hundred  and  seventy  thousand  seven  hun- 
dred. 


NOTATION.  9 

49.  Six  hundred  and  sixty  thousand  and  sixty. 

50.  Four   hundred   thousand   one    hundred    and    fifty- 
seven. 

51.  Seven    million    seven    hundred    thousand    seven 
hundred. 

52.  Nine  million  four  hundred  thousand. 

53.  Eight  million  five  hundred. 

54.  Twenty  million  two  hundred  and  twenty  thousand 
five  hundred. 

55.  Sixty  million  nine  hundred  and  five  thousand. 

56.  Sixty  million  nine  hundred  thousand  and  five. 

57.  Four  hundred  million  and  ninety. 

58.  Forty  million  and  two  hundred. 

59.  Thirty-eight  million  five  thousand  and  sixty. 

60.  Twenty  million  two  thousand  two  hundred. 

61.  ^Ninety-nine  million  and  nine. 

62.  Fifteen  million  fifty  thousand  and  fifteen. 

63.  Fifty  million  fifteen  thousand  and  fifty. 

64.  Seventy  million  and  four. 

65.  Thirty-four  million  and  fifty-six  thousand. 

66.  Fifty-six  million  and  thirty-four. 

67.  One    hundred    and    forty    million    two    thousand 
eight  hundred. 

68.  One  hundred  and  forty  million  and  eight  hundred. 

69.  Two  hundred  million  five  thousand  and  sixty. 

70.  Five  hundred  million  and  eight. 

71.  Six  billion  six  hundred  million  seven  thousand  and 
thirty. 

72.  Forty  billion   seven   hundred   thousand   two   hun- 
dred and  three. 

73.  One    hundred    billion    nine    hundred    and    thirty- 
three. 

74.  Thirty    trillion     forty    billion     fifty    million    and 
sixty. 


10 


KAY'S  NEW  TEST  EXAMPLES. 


75.  Sixty  nine  billion   and  four  thousand. 

76.  Eighty  billion  and  ninety. 

77.  Sixteen  trillion  six  hundred  million. 

78.  Forty  trillion  two  million  and  three  hundred. 

79.  Thirteen  trillion  two  hundred  billion. 

80.  Forty  trillion  fourteen  thousand. 

In  the  following  examples,  Tn.  stands  for  thousand,  M  for 
million,  B  for  billion,  TR,  for  trillion. 

81.  Write  69  B.  43  M.  319. 

82.  Write  41  TR.  17  TH.  and  60. 

83.  Write  48  B.  90  TH. 

84.  Write  300  TR.  200  M.  and  94. 

85.  Write  175  B.  13  M.  299. 
88.  Write  99  TR.  308. 

87.  Write  167  TR.  44  M.  273  TH. 

88.  Write  409  TR.  93  M.  and  7. 

89.  Write  900  TR.  9  TH.  900. 

90.  Write  375  TR.  2  M. 


NUMERATION 

ARTICLE  12. 
Copy,  separate  into  periods,  and  read: 


23 

4000 

10000 

524358 

7564219 

223 

2309 

34000 

409126 

6000628 

500 

6008 

57900 

600888 

32400070 

809 

8054 

74210 

347000 

136629000 

890 

3456 

97526 

200014 

8029504962 

731 

5790 

20064 

870900 

90900009 

NUMERATION. 


11 


713     2090 

43009     166060 

4800080008 

444     9307 

69200     900089 

77000009452 

440     7114 

80005     763005 

526300004 

506     4017 

79046     225200 

30300013003 

310     8006 

30749     840096 

9243000000 

687     3680 

68802     400002 

16700054 

1600  *   9502 

40200     680400 

66055000500 

1750     4008 

50060     304006 

300000936420 

1904     6789 

10208     560230 

840005400 

2378     5200 

29847     708020 

67760800008 

3095     7440 

91006     940094 

10101010101 

5120     1005 

80770     709000 

40005000600 

8700     8060 

65030     120502 

897065403210 

7040     6463 

60007     402029 

19901990199 

4001     2008 

48016     290000 

678900000257 

6802     5083 

89119     607080 

8040050006 

2094     1240 

53647     550406 

9001)00700001 

9530     3402 

10203     803590 

61100065084 

456780993 

26375 

13700687319 

7654019000 

123456789 

378483852468 

69952468308 

87654321 

22670000007000 

2600800430 

3000192 

6200900004 

83004251007 

40090283 

100010001018 

10083682645 

29700370 

93724561427 

967013750 

100560460 

5720000902 

380080545802 

406000557 

2237000888005 

72000974094 

73990646 

432666000456 

80000303080 

1462739 

58079529000 

954270738900 

800002824 

8076530900700 

3000160069 

99033910 

74040850770 

76544599823 

123774105 

199055805630 

500000922356 

60005298 

9365704004060 

12 


RAY'S  NEW  TEST  EXAMPLES. 


ADDITION. 


ARTICLE  19. 


(1) 

(2) 

(3) 

(*) 

(5) 

(6) 

444 

476 

743 

622 

208 

748 

233 

340 

385 

387 

759 

677 

342 

546 

614 

494 

437 

386 

531 

784 

286 

365 

666 

974 

124 

937 

367 

938 

384 

953 

345 

542 

894 

673 

759 

379 

(7) 

(8) 

(9) 

(10) 

(11) 

5834 

3948 

4567 

1357 

6429 

2345 

5678 

8912 

9246 

7531 

768 

1234 

3456 

8135 

8642 

4367 

9999 

7891 

7924 

9753 

9843 

7654 

2345 

6813 

6767 

6438 

3467 

6789 

5897 

8345 

(12) 

(13) 

(14) 

(15) 

(16) 

94073 

47356 

75319 

86427 

43214 

9846 

29356 

86426 

98574 

67785 

78468 

31663 

54687 

89758 

89376 

93785 

73548 

34387 

67896 

97644 

49679 

46659 

67496 

9523 

35975 

3492 

54762 

78588 

84376 

68796 

78685 

8658 

92738 

63527 

82768 

ADDITION. 


13 


(17) 

(18) 

(19) 

(20) 

473826 

483736 

765432 

754218 

584937 

736475 

198765 

765432 

695346 

859648 

432198 

109876 

746578 

365439 

765432 

543210 

677365 

449563 

987654 

987654 

485956 

658757 

321987 

321008 

345567 

512934 

654321 

765432 

(21) 

(22) 

(23) 

(24) 

864268 

798386 

946738 

234567 

975319 

837654 

784293 

376674 

876543 

425262 

367564 

456953 

234567 

667788 

852381 

716364 

426453 

445599 

177539 

168478 

777777 

374859 

796142 

579797 

638904 

465768 

265498 

923564 

135246 

556677 

437651 

437675 

(25) 

(26) 

(27) 

(28) 

4538762 

4321763 

5847354 

6756453 

7465477 

3419844 

7356819 

1237634 

5632850 

4553735 

9868943 

7468515 

6783219 

9676756 

8675478 

3189743 

7546573 

6789427 

9756986 

4581524 

2613695 

8252178 

3868314 

6453635 

8843617 

7843439 

7444267 

7684813 

4684653 

5586865 

9565479 

9792354 

6795876 

8638274 

8947548 

2316615 

4777656 

4871847 

4798716 

9875243 

14  KAY'S  NEW  TEST  EXAMPLES. 

(29)  (30)  (31)  (32) 

8968548  7945  54  7694746 

5637225  6723987  7483  887 

6096  1496959  4565572  9769938 

2375867  58964  4860  985398 

9144636  7  438333  47879 

6813405  8877898  9873865  4473767 

82277  5693887  5687  6838438 

1146  836836  7984J6  689989 

3450014  8869  9929  8971524 

8129982  9779853  6549590  7318 


33.  7467  +  8938  -f-  5489  +  6756  -f-  4887  =±=  what  ? 

34.  57364  +  76528  +  79525  +  55772  -f  98769  ==  what? 

35.  49586  +  48659  +  39745  +  87685  +  92367  =  what? 

36.  58737  +  62914  -f  13579  +  24682  -f  98765  =  what? 

37.  4359  +  78768  -f  90000  +  85076  +  19467  =  what? 

38.  37648  +  58459  -f-  39393  -f  78978  +  89789  =  what? 

39.  76543  -f  87654  +  98765  +  34567  -f  45678  =  what? 

40.  12398  +  77665  +  99887  +  88776  +  66554  =  what? 

4 1.  73842  +  15693  +  17369  +  82456  +  48597  =  what? 

42.  49386  -j-  59487  -f  69489  +  76563  +  86465  =  what? 

43.  76834  +  893584  +  4678  +  59356  +  5968  +  4938  = 
what? 

44.  3456  +  34567  +  345678  +  3456789  ±=  what? 

45.  7654  +  987  +  9876  +  98765  -f-  987654  -f  876543  + 
8765 +  87654  =  what? 


r65  + 87654  =  what? 

46.  Add  37590,  4856,  938,  4675,  12834,  2753,  and  492. 

47.  Add  3962,  9623,  2639,  6293,  3269,  9326,  2963,  and 
592. 

48.  Add  6783,  75,  4938,  6,  3974,  7788,  48395,  and  568. 

49.  Add  29,  2967,  96,  9672,  67,  6729,  72,  7296,  79,  and 
)6. 


6392. 

41 

4 
796 


ADDITION.  15 

50.  Add  67,  8945,  5873,  88,  G377,  24,  5891,  53,  and  492. 

51.  Add  fifty  thousand  and  twenty-six;    sixteen  thou- 
sand   two    hundred;     nine    thousand     and     ninety-four; 
47396;   twenty-seven   thousand  six   hundred  and   seven; 
84759;  ninety-three  thousand  and  nineteen,  and  6733. 

52.  Add  289564;  ninety-four  thousand  six  hundred  and 
eight;  763268;  56921;  nine  hundred  thousand  and  forty; 
sixteen  thousand  eight  hundred  and  seven,  and  5698. 

53.  A   man    owned   seven   houses,   costing   as   follows: 
$5860,  $4575,  $9560,  $12750,   $6788,    $3500,   and   $7388. 
What  was  the  cost  of  all? 

54.  The  following  passengers  were  carried  on  a  rail- 
way:   Monday,  2567;    Tuesday,   894;   Wednesday,    1388; 
Thursday,  3146;  Friday,  1098;  Saturday,  3834;  and  Sun- 
day, 675.     How  many  were   carried   during   the   week? 

55.  Eight    men    weigh    as    follows:     168    pounds,    195 
pounds,  108  pounds,  187  pounds,  136  pounds,  205  pounds, 
154  pounds,  and  172  pounds.     What  is  the  weight  of  all? 

56.  In   a   city  the   inhabitants   numbered   as   follows: 
Americans   57465,   Germans   32903,    Irish    7588,   English 
4995,  Italians  2893,  Colored  2566.     How  many  in  all? 

57.  The  membership  in  four  churches  was  as  follows: 
in  the  first,  295  men  and  330  women;  in  the  second,  107 
men   and   95   women;    in    the  third,   240    men   and    277 
women ;   and  in  the   fourth,  150  men  and   148   women. 
How  many  members  in  all? 

58.  A  well  was  sunk  through  loam  3  feet,  gravel  19 
feet,  clay    24   feet,  sand    5   feet,   and    limestone   29   feet. 
How  deep  is  the  well? 

59.  What  is  the  sum  of  all  the  numbers  under  100, 
whose  ten's  figure  is  7? 

60.  Find  the  total  weight  of  12  bales  of  hay,  weighing 
as  follows:    467,   388,   491,   417,   373,  402,  333,  412,  309, 
383,  417,  and  398  pounds. 


16  RAY'S  NEW  TEST  EXAMPLES. 

61.  A  farmer  raises  850  bushels  of  corn,  720  of  oats, 
560  of  wheat,  236  of  rye,  13  of  millet,  390  of  barley,  and 
78  of  buckwheat.     How  much  grain  has  he  in  all? 

62.  Five  clerks  receive  $1275  apiece,  and  four  others 
$960  apiece.     What  are  their  total  wages? 

63.  The  pupils  in  a  school   are  classed   as  follows:   A 
grade,  77  boys  and  69  girls  ;  B  grade,  105  boys  and  99 
girls  ;    C   grade,  148  boys  and  153   girls  ;    D  grade,  195 
boys  and  196  girls  ;  and  E  grade,  219  boys  and  231  girls. 
How  many  pupils  in  the  school? 

64.  A   planing  mill   sells  the   following   quantities   of 
lumber:    pine,  19680  feet;  oak,  7845  feet;  poplar,  12098 
feet;  cherry,  2780  feet;  ash,  9860  feet;  walnut,  5947  feet; 
maple,  1439  feet;  beech,  610  feet;  and  sycamore,  439  feet. 
How  many  feet  in  all? 

65.  In  a  school  340  children  are  6  years  old,  297  are  7 
years,  258  are  8  years,  227  are  9  nine  years,  196  are  10 
years,   145   are   11   years,   128   are   12  years,    91   are  13 
years,   67  are   14  years,  and  48  are  older.     How  many 
pupils  in  the  school? 

66.  A  lady  spent  as  follows:  for  muslin,  87  cents;  cal- 
ico, 95  cents;  flannel,  175  cents;  tape,  7  cents;   buttons, 
15  cents;   thread,   25   cents;    needles,   5   cents;   silk,  280 
cents;    table  cloth,   375   cents;    and  napkins,  250   cents. 
Find  the  amount  of  her  bill. 

67.  Spent  in  a  market  as  follows:    for  beef,  89  cents; 
chicken,   65   cents;    turnips,   13  cents;   carrots,    7   cents; 
oranges,  15  cents;    apples,  35  cents;   radishes,  10   cents; 
potatoes,  34  cents;  butter,  45  cents;  eggs,  56  cents;  and 
beans,  30  cents.     How  much  did  I  pay  for  all? 

68.  A   commenced   business   with    $9278,   and    gained 
$346;   B  with   $7866,  and  gained  $963;    C  with  $12390, 
and  gained  $2240;    and  D  with  $1862,  and  gained  $16. 
How  much  were  the  four  then  worth? 


ADDITION.  17 

69.  A  factory  makes  in  a  week  960  chairs,  40  sofas,  68 
lounges,  93  settees,  38  sideboards,  29  bureaus,  165  wash- 
stands,  82  wardrobes,  326  tables,  120  desks,  and  5  black- 
boards.    How  many  articles  in  all? 

70.  A  steamer  on   a  trip  carried  the  following:    iron, 
475  tons;  flour,  76  tons;  cotton,  84  tons;  coffee,  45  tons; 
sugar,  119  tons;  tobacco,  84  tons;  paper,  9  tons;  lumber, 
173  tons;    rice,  17  tons;    corn,  45  tons;  cheese,  22  tons; 
and  other  articles,  36  tons.     What  was  the  weight  of  the 
cargo  ? 

71.  Write  58487  ten  times  and  add. 

72.  A  vessel  sailed  per  day  as  follows:    204  miles,  78 
miles,  137  miles,  99  miles,  136  miles,  196  miles,  312  miles, 
273  miles,  301  miles,  and  264  miles.     Find  the  length  of 
the  trip. 

73.  Find  the  sum  of  all  the  numbers  between  48  and 
60. 

74.  Eight  barrels  of  salt  weighed  respectively  372,  401, 
294,  277,  336,  348,  299,  and  363  pounds.     F'ind  the  weight 
of  all. 

75.  A  has  $450;  B  $7  more  than  A.     How  many  have 
both? 

76.  A  owns  320  acres  of  land ;  B,  120  more  than  A  ;  and 
C,  100  more  than  B.     How  many  acres  have  the  three? 

77.  I  lost  $68,  $23,  and  $254,  and  then  had  $77.     How 
much  had  I  at  first? 

78.  A  merchant  paid  during  the  year  for  rent,  $1500; 
repairs,  $205;   book-keeper,  $1500;    clerks,    $3200;    fuel, 
$205;  freight,  $688;  gas,  $1018;  advertising,  $274;  dray- 
age,  $290;  taxes,  $360;  and  little  expenses,  $164.     Find 
his  total  expenses. 

79.  The  rooms  of  a  school-house  contained  63,  61,  59, 
57,  55,  53,  51,  49,  47,  and  45  pupils  respectively.     How 
many  pupils  in  all? 

R.  T.  E  —2. 


18 


KAY'S  NEW  TEST  EXAMPLES. 


SUBTRACTION. 

ARTICLE  26. 


1.  From  4368  take 

2.  From  56789  take 

3.  From  33333  take 

4.  From  303030  take 

5.  From  5263743  take 

6.  From  34567890  take 

7.  From  34567890  take 

8.  From  43216723  take 

9.  From  29345678  take 

10.  From  2009988  take 

11.  From  60000254  take 

12.  From  222333444  take 

13.  From  367890000  take 

14.  From  8245673432  take 

15.  From  99009900  take 

16.  From  90008000  take 

17.  From  21222324  take 

18.  From  3067543581  take 

19.  From  189640054  take 

20.  From  880088007  take 

21.  Take  47563  from 

22.  Take  1357924  from 

23.  Take  98700563  from 

24.  Take  7654083  from 

25.  Take  7654083  from 

26.  Take  30047582  from 

27.  Take  235643218  from 

28.  Take  3242526272  from 

29.  Take  123456789  from 

30.  From  four  million  and 


2634. 

9876. 

4040. 

222222. 

2281429. 

12345678. 

1234567. 

9013861. 

2934587. 

1838899. 

5000169. 

22334455. 

724. 

7345582604. 

88088088. 

2765094. 

12223242. 

9364. 

99999999. 

80059920. 

128290. 

4297531. 

100987285. 

23582467. 

235824674. 

40100000. 

524870042. 

4252621222. 

987654321. 

sixty  take  239734. 


SUBTRACTION.  19 

31.  From  59  billion  and   30   thousand  take   9  million 
527  thousand  235. 

32.  34000527  — 8370263  =  what? 

33.  200003000  — 5604037--=  what? 

34.  37360000  less  29504574  =  what? 

35.  How  much  greater  is  234568001  than  42734056? 

36.  How  much  less  is  2980752  than  3009527? 

37.  From  1  unit  of  the  eighth  order  take  5432187. 

38.  What   number   must    be    taken    from   five   million 
and  five  to  leave  five  thousand  five  hundred? 

39.  What  number  must  be  added  to  3723489  to  make 
ten  million? 

40.  What    is    the    difference    between    3802764    and 
3890609? 

41.  39  million  less  7800973  =  what? 

42.  What    is    the    difference     between     8200969    and 
7040080  ? 

43.  From  17  million    14  thousand    take   9   million   99 
thousand  900. 

44.  From  1  trillion  take  560000900384. 

45.  From    forty    billion    sixty    million    take    7    billion 
328  million  9  thousand  and  87. 

46.  A  house  cost  $4000,  and  was  sold  at  a  loss  of  $968. 
How  much  was  received  for  it? 

47.  A   house   was   sold   for   $3425,   at  a  gain   of  $956. 
Find  the  cost. 

48.  I  had  $843,  and  gave  away  all  except  $96.     How 
much  did  I  give  away? 

49.  A   man   had   320    acres,   of  which   47   acres   were 
woodland.     How  much  was  cleared? 

50.  Washington  was  born  in  1732,  and  died   in  -1799. 
How  old  was  he  when  he  died? 

51.  In  what  year  was  a  man  born,  who  died  in  1875 
at  the  age  of  86? 


20  KAY'S  NEW  TEST  EXAMPLES. 

52.  Commenced  business  with   $18420,   and   quit  with 
$16975.     How  much  did  I  lose? 

53.  Commenced   with   $29080,   and    lost    $2364.     How 
much  had  I  left? 

54.  After  gaining  $2972,  I  had  forty  thousand  dollars. 
With  what  sum  did  I  commence? 

55.  A  man   agrees  to  build   4270  feet  of  fence;    after 
completing  1909  feet,  how  much  remains  to  be  built? 

56.  A    published    40000    copies   of  a    book,   and    sold 
37036.     How  many  remain  unsold? 

57.  I  had  $1807  in  bank,  and  gave  a  check  for  $250. 
How  much  was  in  bank  after  the  check  was  paid? 

58.  Sold  goods  at  an  advance  of  $12500,  and  my  ex- 
penses were  $3750.     What  was  my  real  gain? 

59.  At    an    election    Brown    received    1013   votes    and 
Jones  831  votes.     What  is  Brown's  majority  over  Jones? 

60.  Floods   occurred  in  the   Ohio   River  in  the  years 
1832  and  1883.     How  many  yeafs^between  the  two? 

61.  A  treasurer  received  $507320,  of  which  he  paid  out 
$498078.     How  much  has  he  still? 

62.  From  2004  take  668  twice. 

63.  Subtract  3728  three  times  from  12000. 

64.  Find  the  excess  of  40789  over  30978. 

65.  From  100000308  take  15700890  four  times. 


ADDITION  AND  SUBTRACTION. 

66.  453  +  268  +  2000  —  983  =  ? 

67.  2500  +  2145  —  485  —  3485  =  ? 

68.  489  +  625  —  873  +  341  =? 

69.  3250  —  2409  +  1783  —  999  =? 

70.  10000  —  2733  —  2789  —  2648  =  ? 

71.  11111  —  2844  —  2557  +  129=? 


ADDITION  AND  SUBTRACTION.  21 

72.  From   2701    take  the  difference  between  2701  and 
897. 

73.  From  2700  take  the  sum  of  598  and  697. 

74.  I  had  $2365;  I  received  $2138  for  a  house,  and  paid 
away  $3980.     How  much  have  I  left? 

75.  A  farmer  had  300  acres  of  tilled  land,  725  acres  of 
pasture,  and  409  acres  of  woodland;    he  sells  987  acres. 
How  much  has  he  now? 

76.  From  the  sum  of  3456  and  6546  take  the  difference 
between  10000  and  1001. 

77.  From  the  sum  of  4783  and  5984  take  their  differ- 
ence. 

78.  A  city  contained  47850  inhabitants;    1372  moved 
in,  and  679  moved  away;  948  were  born,  and  473  died. 
How  many  did  it  then  contain? 

79.  Had  in  bank  $2125;  deposited  $267,  and  afterwards 
drew   out  $415   and   $290.     How  much  is  left  in  bank? 

80.  Bought    4    hogsheads    of   sugar    containing    1183, 
1211,  1170,  and  1293  pounds,  and  then  filled  and  sold  3 
barrels,    each    containing    219    pounds.      How    much    is 
left? 

81.  Sold,  the    first  year,   $8760   worth    of  goods;    the 
next  year  $2698   more   than  the  first.     How  much  was 
that  for  two  years? 

82.  Williams  &  Co.  gained  $4200  the  first  year,  $3850 
the  second  year,  arid  then  had  $30000.     What  was  their 
capital  at  first? 

83.  Had    $20880;    gained    $1706    the    first    year,   and 
enough    the   second    year    to   make    my    capital    $25000. 
What  did  I  gain  the  second  year? 

84.  A  firm  owed  me  $3800;  I  bought  from  them  $12000 
of  goods,  paying  them   $5000  cash,  and  giving  them  a 
note  for  balance  due  them.     What  was  the  amount  of  the 
note? 


22 


RAY'S  NEW  TEST  EXAMPLES. 


85,  A  is  worth   $4750;    B   $988  more  than  A;    C  $47 
less  than  B;   and  D  $50  less  than  A.     How  much  have 
all  together? 

86.  A  man  died  leaving  property  worth  $60000  to  be 
divided  among  his  widow,  two  sons,  and  three  daughters ; 
each  son  received  $9870,  and  each  daughter  $7890.     How 
much  remains  for  the  widow? 


MULTIPLICATION. 
ARTICLE  31. 


1. 

326 

X 

5 

=  ? 

13. 

783419 

X 

39 
^^  I 

2. 

734 

X 

6 

9 

14. 

605628 

X 

7  =  ? 

3. 

459 

X 

7 

=c±? 

15. 

577237 

X 

8  =  ? 

4. 

386 

X 

8 

9 

16. 

409846 

X 

7  =  ? 

5, 

597 

X 

6 

=  ? 

17. 

391055 

X 

6=? 

6. 

678 

X 

4 

—  ? 

18. 

732364 

X 

5=? 

7. 

5678 

X 

8 

=  1 

19. 

694573 

X 

9^=:? 

8. 

9768 

X 

7 

=  ? 

20. 

806782 

X 

7^=? 

9. 

7678 

X 

5 

===? 

21. 

798990 

X 

8  =  ? 

10. 

8986 

X 

9 

=  ? 

22. 

680401 

X 

6  —  ? 

11. 

5846 

X 

7 

=  ? 

23. 

474692 

X 

5  =  ? 

12. 

6967 

X 

8 

=  ? 

24. 

696283 

X 

8  =  ? 

25. 

467670984 

X 

8  =  ? 

26. 

288076589 

X 

7  =  ? 

27. 

668948078 

X 

9  =  ? 

28. 

701539548 

X  1 

1=? 

29. 

933697658 

X  1 

0  =  ? 

30. 

845786793 

X 

8  =  ? 

31. 

457868839 

X 

9  =  ? 

32. 

766854729 

X 

7  =  ? 

33. 

870896697 

X 

9  =? 

MULIPLICATION. 


23 


34.  287  X  28  =  ? 

35.  493x22=? 

36.  391  X  24  =  ? 

37.  465  X  34  =  ? 

38.  386  X  25  =  ? 

39.  472  x  26  =  ? 

40.  951  x  35  =  ? 

41.  587X36  =  ? 

42.  958  X  37  =  ? 

43.  6254  X  42  ==  ? 

44.  3873  X  47  =  ? 

45.  6485  X  43  =  ? 

46.  3129  X  58  =  ? 

47.  7654  X  69  =  ? 

48.  8397  X  42  =  ? 

49.  6549  X  83  =  ? 

66.  Multiply 

67.  Multiply 

68.  Multiply 

69.  Multiply 

70.  Multiply 

71.  Multiply 


50.  2386  X 

51.  786  X 

52.  458  X 
6083  X 


94  =  ? 
97  =  ? 
69  =  ? 

48  =  ? 


53. 

54.  769  x  316  =  ? 

55.  846  X  527  =  ? 

56.  846  X  906  =  ? 

57.  938  X  238  =  ? 

58.  938  X  709  =  ? 

59.  776  x  483  =  ? 

60.  987  X  904  =  ? 

61.  3456  X  895  =  ? 

62.  4567  X  786  =  ? 

63.  5678  x  607  =  ? 

64.  6789  X  568  =  ? 

65.  7894  X  409  =  ? 
8945  by     645. 

48075  by     376. 

6908  by     489. 

629075  by  3089. 

738306  by  4605. 


923874  by  3837. 

72.  Multiply  8877655  by  4657. 

73.  Multiply  1357986  by  5783. 

74.  Multiply  4378078  by  6329. 

75.  Multiply  2468642  by  3759. 

76.  What  cost  93  horses  at  $75  apiece? 

77.  What  cost  75  horses  at  $93  apiece? 

78.  How  many  yards  of  thread  on  84  spools,  holding 
196  yards  each? 

79.  What  will  9568  bushels  of  wheat  cost,  at  127  cents 
a  bushel  ? 

80.  A  butcher  sells  2657  pounds  of  beef,  daily,  for  93 
days.     Find  the  total  amount  sold. 


24  KAY'S  NEW  TEST  EXAMPLES. 

81.  A   book   contains   288   pages;   and  each  page,  840 
ems.     How  many  ems  in  the  book? 

82.  What  is  the  total  capacity  of  46  freight  cars,  each 
holding  14260  pounds? 

83.  What  will  it  cost  to   grade  257  miles  of  road  at 
$385  a  mile? 

84.  How  many  links  in  289  chains,  each  chain  having 
743  links? 

85.  A   horse  can  draw  a  load   of   1423  pounds.     How 
much  could  85  horses  draw  ? 

86.  A   company  of   soldiers    contains   85    men.      How 
many  men  in  67  companies? 

87.  A   lot   is   287   feet  front,  and  worth  $162  for  each 
front  foot.     What  is  the  lot  worth? 

88.  If  2347568  gallons  of  water  pass   a   certain   point 
in  a  river  in  one  hour,  how  many  gallons  will  pass  in  48 
hours  ? 

89.  How    far    will   a   star   go   in    75   days,   if  it  goes 


1^67893  miles  per  day? 

€0  A  barr 
weight  of  472  barrels. 


rel   of  flour  contains  196  pounds.     Find  the 


91.  What    must    be  paid    for   grading  a  railroad   327 
miles  long,  at  $1237  a  mile? 

92.  How   many    peach    trees   can  be   planted  on   179 
acres,  each  acre  having  256? 

93.  If  a  seine  contains  4365  yards  of  twine,  how  many 
yards  will  be  required  for  483  seines? 

94.  What  will  be  the  weight  of  96  horses,  estimating 
them  at  1387  pounds  apiece? 

95.  If  the   circulation   of  a   library  is  24306   volumes 
daily,  how  many  would  that  be  in  297  days  ? 

96.  If  829  men  could  dig  a   canal  bed   in   248   days, 
how  many  men  would  be  required  to  complete  the  work 
in  one  day? 


MULTIPLICATION. 


25 


ARTICLE  32.  —  Case  1. 

1.   47384  X  63  ==  ? 

11,  453312  X  42  =  ? 

2.   60872  X  132  =  ? 

12.  673944  X  108  =  ? 

3.  346891  X  77  =  ? 

13.  483576  X  64  =  ? 

4.  7205674  X  27  —  ? 

14.  363108  X  144  =  ? 

5.  889793  X  72  =  ? 

15.  273733  X  88  =  ? 

6.  426312  X  44  =  ? 

16.  903465  X  81  =  ? 

7.  3784931  X  45  =  ? 

17.  693197  X  48  =  ? 

8.  6292558  X  96  =  ? 

18.  843839  X  84  =  ? 

9,  3490175  X  66  =  ? 

19.  783571  X  55  =  ? 

10.  768793  X  35  =  ? 

20.  932186  X  56  =  ? 

ARTICLE  33.  —  Case  II. 

1.    28734  X  1000  3&  ? 

7.  40070893  X  100000  =  ? 

2,    49865  X   100  =  ? 

8.  37088900  X   1000  =  ? 

3.  6200945  X  1000  =  ? 

9.  26893845  X  10000=? 

4,   384503  X  10000  =  ? 

10.  34779267  x   100=? 

5.   468357  X   100  =  ? 

11.  48596023  X  100000  =  ? 

6.  40050008  X  1000  =  ? 

12.  76540063  X   1000  =  ? 

ARTICLE  34.  —  Case  III. 

Multiply  : 

1.    590  by     45. 

11.  706004  by  80400000. 

2.   4732  by    730. 

12.  209800  by    606600. 

3.  66450  by    6600. 

13.  345678  by  78050000. 

4.  38700  by   40800. 

14.   46003  by    90020. 

5.  96050  by   39000. 

15.   97623  by   5648000. 

6.  483200  by   79610. 

16.   87410  by   809300. 

7.  738512  by  4850000. 

17.   53820  by  256700000. 

8,  400400  by  640800. 
9.   5008  by   50790. 

18.  6767600  by   ^60pOO. 
19.  948372  by   138200. 

10.  60904  by  384000. 

20.   21101  by  6095000. 

26 


KAY'S  NEW  TEST   EXAMPLES. 


SHORT   DIVISION. 
ARTICLE  41. 


Divide  : 

1. 

45678936  by  3. 

16.   346800270  by  5. 

2. 

43218765  by  5. 

17.  6001674864  by  3. 

3. 

9999992660  by  7. 

18.  3031674804  by  6. 

4. 

807006935  by  5. 

19.  345680528  by  4. 

5. 

392919096  by  8. 

20.  759274400  by  8. 

6. 

987652308  by  4. 

21.   39291993  by  9. 

7. 

987652308  by  6. 

22.  876543210  by  6. 

8. 

111111111  by  9. 

23.  392919096  by  4. 

9. 

222222222  by  6. 

24.   123456128  by  8. 

10. 

21026838  by  3. 

25.  350364075  by  5. 

11. 

74060259  by  7. 

26.  5555558400  by  7. 

12. 

76587692  by  4. 

27.  618170472  by  9. 

13. 

723645000  by  8. 

28.  617180742  by  6. 

14. 

876543210  by  9. 

29.  1001002002  by  3. 

15. 

9876543215  by  7. 

30.  406052983  by  7. 

31.  Find    one  fourth   of    3738392. 

32.  Find    one  eighth   of    7360576. 

33.  Find    one  third    of   26688111. 

34.  Find    one  ninth    of   28880109. 

35.  Find    one  sixth    of   45500196. 

36.  What  is  one  fifth    of   56009800? 

37.  What  is  one  seventh  of   54985448? 

38.  What  is  one  ninth   of   23401881? 

39.  What  is  one  fourth   of   23601880? 

40.  Four  men  earn  $2968:  how  much  is  that  for  each 
of  them  ? 

41.  How  many  6-pound  balls  will  be  required  to  weigh 
7644  pounds? 

42.  How   many   hats  can   be   bought  for   $2075,  at  $5 
apiece  ? 


SHORT  DIVISION.  27 

43.  In  one  week  there  are  7  days:    how  many  weeks 
in  8429435  days? 

44.  A  man  earns  $972  in  6  months:  how  much  is  that 
per  month  ? 

45.  A  car  can  go  8  miles  in  an  hour:  how  long  will  it 
take  it  to  go  4560  miles? 

46.  How  many  5-gallon  jugs  can  be  filled   from  2520 
gallons  of  molasses? 

47.  $3450  was  raised  among  some  merchants,  each  pay- 
ing $6:  how  many  were  there? 

48.  Five   passenger  cars  can  carry   360  persons:    how 
many  is  that  for  each  car? 

49.  Eight    stoves    weigh    2792    pounds:    what    is    the 
weight  of  each? 

50.  A  railroad  train  can  go  3003  miles  in  7  days:  how 
far  is  that  each  day? 

51.  How  long  will  it  take,  a  man  to  earn  $896,  if  his 
wages  are  $7  a  week? 

52.  How  many  blank  books  can  be  made  from  5552 
sheets  of  paper,  if  each  book  contains  8  sheets? 

53.  A  man   dying   left   $16814    to  be  equally  divided 
among  7  children :  what  was  the  share  of  each  ? 

54.  A  bar  of  soap  weighs  4  pounds:    how  many  bars 
will  be  required  to  weigh  9996  pounds? 

55.  At  $6  a  day,  how  many  days  will  be  required  to 
earn  $1638? 

56.  How  many  sashes,  of  six  panes  each,  can  be  filled 
from  7776  panes  of  glass? 

57.  If  the    Government   pays   $9256320   of   debt  in   9 
months,  how  much  would  that  be  per  month? 

58.  If   125616    soldiers   were    divided    equally    into    8 
divisions,    how    many    soldiers    would    that    be  for  each 
division  ? 

59.  How  many  sixes  would  it  take  to  make  16008? 


28 


KAY'S  NEW  TEST  EXAMPLES. 


LONG     DIVISION. 


ARTICLE  42. 


Divide  : 

1.  84878  by  31. 

2.  223686  by  51. 

3.  328233  by  71. 

4.  220867  by  41. 

5.  898716  by  91. 

6.  356500  by  92. 

7.  380398  by  82. 

8.  675000  by  72. 

9.  241552  by  62. 

10.  309557  by  43. 

11.  1674123  by  33. 

12.  6582564  by  83. 

13.  3766110  by  94. 

14.  2997592  by  74. 

15.  4832460  by  54. 

31,  Divide 

32.  Divide 


16.  1362768  by  44. 

17.  3323232  by  36. 

18.  3323232  by  48. 

19.  1009827  by  27. 

20.  1501305  by  39. 

21.  4141387  by  59. 

22.  38739176  by  19. 

23.  45806266  by  902. 

24.  18757711  by  611. 

25.  48512520  by  713. 

26.  16379005  by  421. 

27.  45000000  by  338. 

28.  15349839  by  771. 

29.  36517449  by  893. 


30.  11998679  by  197. 
240158529  by  6201. 
292246250  by  4138. 

33.  Divide  37021447680  by  9085. 

34.  Divide  100200300400  by  8251. 

35.  234567891000  *-  3456  =  ? 

36.  345678912000  -f-  4567  =  ? 

37.  456789123000  -5-  5678  =  ? 

38.  At  47   cents   apiece,  how  many   hammers   can    be 
bought  for  18565  cents? 

39.  How  many  cars,  each  24  feet  long,  can  be  placed 
upon  a  track  3744  feet  long? 

40.  If  986  pounds  is  a  load  for  one  horse,  how  many 
horses  will  be  required  to  carry  493986  pounds? 

41.  What  will  one  horse  cost,  if  the  bill  for  293  horses 
is  $89365? 


LONG  DIVISION.  29 

42.  How  many  sewing  machines,  at  $65  each,  can  be 
bought  for  $4225? 

43.  If  a  foundry  consume    428    bushels  of  coal  in  a 
day,  how  long  will  121980  bushels  last? 

44.  A  man  traveled  5341  miles  in  109  days:    how  far 
was  that  each  day? 

45.  How  many  years  would  be  required  to  pay  a  debt 
of  $2004002154,  if  $13013001  are  paid  yearly? 

46.  A  turnpike  was  constructed  at  a  cost  of  $2765  per 
mile,  and  the  total  cost  was  $215670:  how  long  was  the 
road? 

47.  Divide  57  million  114  thousand  and  57  by  19019. 

48.  If  56  pounds  of  rye  make  a  bushel,   how   many 
bushels  would  be  required  to  weigh  93744  pounds? 

49.  83  iron   columns  weigh  764264  pounds:    find   the 
weight  of  each. 

50.  By  what  number  must  706126  be  divided  to  give 
89  for  a  quotient? 

51.  By  what  number  must  4328  be  multiplied,  so  that 
the  product  may  be  8331400? 

52.  If  a  short-hand  writer  can  write  125  words  in  a 
minute,  how  long  will  he  require  to  write  13375  words? 

53.  What  was  the  length  of  one  piece  of  cloth,  if  193 
pieces  measured  36477  yards? 


CONTKACTIONS  IN  DIVISIOK 

ARTICLE  43. — Case  J. 


Divide : 


1.  4524  by  24. 

2.  455364  by  36. 

3.  372518  by  32. 

4.  2736595  by  45. 

5.  4728392  by  48. 

6.  1168384  by  56. 


7.  13413501  by  27. 

8.  3742015  by  28. 

9.  27253746  by  18. 

10.  47351850  by  25. 

11.  11111111  by  42. 

12.  3579135  by  63. 


30     .  RAY'S  NEW  TEST  EXAMPLES. 


ARTICLE  44. —  Case  II. 

1.  Divide         47389256  by       1000. 

2.  Divide       367854001  by         100. 

3.  Divide  27000008746  by     10000. 

4.  Divide     1234567892  by         100. 

5.  Divide     3704605504  by       1000. 

6.  Divide     9897969594  by  100000. 

7.  Divide       130027005  by         100. 

8.  Divide       123843658  by  one  thousand. 

9.  Divide  44872362592  by  one  million. 

10.  Divide     5000700040  by  ten  thousand. 

11.  Divide  37264839527  by  ten. 

12.  Divide     43    million  by  one  hundred. 

13.  Divide  12345654321  by  one  thousand. 

14.  Divide  754000000000400  by  one  billion. 

15.  Divide  47638592143  by  ten  thousand. 

ARTICLE  45. — Case  III. 


1.  Divide 

472956  by 

40. 

2.  Divide 

124578013  by 

140. 

3.  Divide 

56789324  by 

8000. 

4.  Divide 

3438725382  by 

1900. 

5.  Divide 

263341058  by 

470. 

6.  Divide 

738495262  by 

4050. 

7.  Divide 

3213213313  by 

8800. 

8.  Divide 

345456567  by 

3400. 

9.  Divide 

765472384  by 

107000. 

.0.  Divide 

9236453400000  by 

7200. 

11.  Divide  one  billion  by  706700. 

12.  Divide  397  billion  by  97  thousand. 

13.  Divide  56784935867  by  3050600. 

14.  Divide  999999999  by       90990. 


PROMISCUOUS   EXAMPLES.  31 

ARTICLE  49. — Promiscuous  Examples. 

1.  Bought  60  cows  at  $33  apiece,  and  47  at  $28  apiece : 
what  was  the  total  cost? 

2.  What  cost  47   hogsheads,  each   containing  48  gal- 
lons of  molasses,  at  65  cents  a  gallon? 

3.  Had  96  horses;  3  died,  and  the  others  were  sold  at 
$150  apiece.     What  sum  was  received  for  them? 

4.  A  man  having   $10000,  kept  $307,  arid  with  the 
rest  bought  land  at  $27  an  acre.     How  many  acres  did 
he  buy? 

5.  Multiply  the  sum  of   209  and  390  by  their  differ- 
ence. 

6.  Two  men  had  $8550  apiece;    one  bought  cows  at 
$38  each,  the  other  cows  at  $45  each.     How  many  more 
did  the  first  buy  than  the  second? 

7.  Eighty-seven  horses  were  sold  at  $155  apiece,  and 
the  money  invested  in  mules  at  $93  apiece.     How  many 
mules  were  bought? 

8.  Four  times  1728  are  how^  many  less  than  10000? 

9.  Eaised  65  bushels  of  potatoes  on  each  of  85  acres 
of  land;  used  180  bushels,  and  sold  the  remainder  at  63 
cents -a  bushel.     How  much  was  received  for  them? 

10.  Four  men  were  in  partnership,  having  in  all  $8560; 
the  first  had  $2140,  the  second  $3076,  and  the  third  and 
fourth   had   equal  sums.     How   much   had    each    of  the 
latter? 

11.  66   horses  were  bought  at  $127  apiece;   sold  one 
third  at  $125  apiece,  and  the  remainder  at  $135  apiece. 
What  was  my  gain  on  all? 

12.  I  have  a  lot  65  feet  front,  worth   $175  per  front 
foot;    if  I   trade  for  a  farm  of   126  acres,  worth  $90  an 
acre,  how  much  cash  should  I  receive? 

13.  Divide  312x273  by  312  —  273. 


32  KAY'S  NEW  TEST  EXAMPLES. 

14.  Forty-eight  men  can  build  a  bridge  in  187  days; 
how  many  must  be  employed  to  build   it   in  176   days? 

15.  Seventy-three  horses  eat  101835  pounds  of  hay  in 
93  days;  how  much  was  that  daily  for  each  horse? 

16.  A  man  borrows  $6000,  and  pays  $400  a  year  for 
the  use  of  it ;  how  much  should  he  pay  back  at  the  end 
of  4  years? 

17.  What  sum  will  be  received  for  137  acres  of   land, 
which  cost  $75  per  acre,  and  were  sold  at  a  gain  of  $49 
per  acre? 

18.  What  sum  will  be  received  for  354  acres  of  land, 
which  cost  $29  per  acre,  and  were  sold  at  a  gain  of  $94? 

19.  A  man  received  a  legacy  of  $8273;    he  paid  $131 
expenses,  and  with  the  remainder  bought  bonds  at  $118 
apiece;  how  many  did  he  buy? 

20.  If  a  sewing  machine  is  worth  $45,  how  many  sew- 
ing  machines  must   be   traded   for   117   watches   at   $65 
apiece? 

21.  How  much  must  be  paid    for  45  turkeys,  so  that 
95   cents  may   be   gained   by   selling    them  at    87   cents 
apiece? 

22.  The  dividend  was  39  times  552,   and  the   divisor 
299:  find  the  quotient. 

23.  Bought  882  acres  of  woodland;   after  clearing  one 
ninth  of  it,  I  sold  the  cleared  land  at  $18  an  acre,  and 
the  .woodland  at  $11  an  acre.     How  much  did  I  receive 
in  all? 

24.  If  a  number  will  contain  322  ninety-six  times,  how 
many  times  will  it  contain  69? 

25.  Bought  48  cows  at   $32   apiece,   and   20   horses  at 
$100  apiece ;  sold  them  so  as  to  gain  $200.     What  did  I 
receive  for  them  all? 

26.  A  banker  buys  52  shares  of  stock  for  $5824;    for 
how  much  must  he  sell  them  to  gain  $8  a  share? 


PROMISCUOUS    EXAMPLES.  33 

27.  Bought  293  hogsheads  of  sugar  at  $58  apiece;   for 
how  much  must  I  sell  it  to  gain  $7? 

28.  A  pile  of  lumber  weighing  39039  pounds  lost  one 
seventh  of  its  weight  in  drying:  what  did  it  then  weigh? 

29.  How  many  20-gallon  casks  can  be  filled  from  395 
barrels  of  molasses  of  48  gallons  each? 

30.  Sold  47  wagons  at  $50  apiece,  and  after  buying  a 
farm  had  $495  left.     What  was  the  cost  of  the  farm? 

31.  What  number  must  be  multiplied  by  47  to  make 
the   product   equal   to   the    difference    between    987    and 
11797? 

32.  What  number  must  be  divided  by  73  to  make  the 
quotient  equal  to  the  sum  of  456  and  2893? 

33.  Spent   $8880   for    horses   at   $74   apiece;    23  died: 
how  many  remain? 

34.  If  93  horses  cost  $19158,  how  many  can  be  bought 
for  $79310? 

35.  Bought  hogs  for  $893,  and  sold  them  at  $11  apiece, 
gaining  $9;  how  many  did  I  buy? 

36.  Of  what  number  is  526  both  divisor  and  quotient? 

37.  If  36  men  earn  $6912  in  12  weeks,  how  much  does 
each  earn  per  week? 

38.  How  often  is  one  fourth  of  one  thousand  contained 
in  one  fifth  of  one  million? 

39.  After   selling   68   cows,   at   $42   apiece,   how  much 
must  I  borrow  if  1  wish  to  buy  209  hogs  at  $14  apiece? 

40.  Sold  923  yards  of  my  cloth  at  $4  a  yard,  and  the 
remainder  at  $5  a  yard,  and  received  in  all  $5222.     How 
many  yards  had  I  at  first? 

41.  If  47  men,  in  58  weeks,  can  dig  215354  yards  of 
ditch,  how  many  yards  can  29  men  dig  in  47  weeks? 

42.  If  an  army  of  23479  men  consume  2653127  pounds 
of  food  in  a  month,  how  many  pounds  would  be  required 
per  month  after  4839  men  have  been  killed? 

R.  T.  E.—3. 


34  KAY'S  NEW  TEST  EXAMPLES. 

43.  Bought  356  acres  for  $2848,  and   sold  at  $11   per 
acre:   how  much  did  I  gain? 

44.  59375  yards  of  bunting  were   bought  to   make  a 
certain    number   of  flags,    19   yards   being  intended   for 
each ;   if   5   yards  more   are   needed   for  each   flag,  how 
much  more  bunting  must  be  bought? 

45.  Eeceived  $5850  for  18  months'  rent;  the  rent  was 
then  raised  $20  per  month.     What  was  the  rent  for  the 
next  12  months? 

46.  A  car  will  carry  11700  pounds;  what  is  the  weight 
of  a  boat-load  of  wheat  which  lacks  250  pounds  of  tilling 
23  cars? 

47.  If  an  acre  of  ground  will  produce  52  bushels  of 
turnips  or  70  bushels  of  potatoes,  how  many  bushels  of 
potatoes  can  be  raised  on  a  farm  that  will  produce  9100 
bushels  of  turnips? 

48.  What  number  exceeds  one  ninth  of  3096  as  much 
as  one  eighth  of  3096  exceeds  one  tenth  of  3690? 

49.  Bought  land  for  $8370,  and  sold  it  at  $31  an  acre, 
losing  $248.     How  many  acres  were  there? 

50.  A  man  having  $25725,  kept  one  third,  and  invested 
the  remainder  in  land  at  $49  per  acre:  how  many  acres 
did  he  purchase? 

51.  Bought  135  mules  at  $115  apiece;  sold  one  fifth  of 
them  at  a  gain  of  $18  apiece,  and  the  others  at  a  gain  of 
$16  apiece.     What  was  my  total  gain? 

52.  A  man  has  a  farm  of  260  acres;    on  each  acre  he 
can  raise  35  bushels  of  oats,  worth  93  cents  a  bushel,  or 
130  bushels  of  potatoes,  worth  24  cents  a  bushel.     How 
much  more  would  he  realize  from  oats  than  from  pota- 
toes? 

53.  From  8  times  7317    take    9  times  5328,  and  divide 
the  result  by  the  difference  between  one  eighth  of  504 
and  one  ninth  of  1008. 


UNITED  STATES   MONEY. 


35 


UNITED    STATES    MONEY. 

ARTICLE  53. 
Write  the  following  sums  : 

1.  Thirteen  dollars  ninety-three  cents. 

2.  Eighty-seven    dollars    forty-nine    cents    and   three 
mills. 

3.  Twenty-nine  dollars  and  eight  cents. 

4.  One  hundred  and  fifty-seven  dollars  and  fifty  cents. 

5.  Nine  dollars  nine  cents  and  nine  mills. 

6.  Twelve  dollars  and  two  mills. 

7.  Five  hundred  dollars  and  ten  cents. 

8.  Two  hundred  dollars  and  three  mills. 

9.  Ninety-nine  dollars  and  ninety  cents. 
10.  Ninety  dollars  and  ninety-nine  cents. 

Read  the  following : 


$  73.38 

$  34.20 

$  96.011 

$  309.806 

9  73.028 

$457.02 

$  49.102 

$4561.25 

$  70.328 

$  2.909 

$600.888 

$   3.092 

$  45.006 

$  G.099 

$100.16 

$    .59 

$  74.05 

$  5.005 

$116.03 

$  739.11 

$300.10 

$  88.10 

$  11.603 

$  46.03 

$  59.00 

$393.25 

$821.018 

$1000.97 

ARTICLE  55. — Reduction  of  United  States  Money. 

1.  Eeduce  $93  to  cents. 

2.  Eeduce  800  cents  to  dollars. 

3.  Eeduce  46  cents  to  mills. 

4.  Eeduce  187  mills  to  cents. 

5.  Eeduce  76  dimes  to  cents. 

6.  Eeduce  $45  to  mills. 

7.  Eeduce  3009  mills  to  dollars. 

8.  Eeduce  $89.17  to  cents. 

9.  Eeduce  $700  to  cents. 


36  KAY'S  NEW  TEST  EXAMPLES. 

10.  Eeduce  $10000  to  mills. 

11.  Eeduce  4  dollars  4  cents  4  mills  to  mills. 

12.  Eeduce  $467.02  to  cents. 

13.  Eeduce  $467  to  cents. 

14.  Eeduce  $83  and  9  mills  to  mills. 

15.  Eeduce  123000  mills  to  dollars. 

ARTICLE  56. — Addition  of  United  States  Money, 

1.  What  is  the  sum  of  19  dollars  85  cents;  43  dollars 
and  79  cents ;  76  dollars  and  21  cents ;  58  dollars  and  15 
cents;  and  29  dollars  and  75  cents? 

2.  Add  $74.19,   $15.01,   $46.28,   $9.60,  $17.81,   $25.72, 
$9.93,  and  $7.46. 

3.  $7.007+  $70.70  -f  $7.07+  $77.77+$777.77+$99.00  + 
$4.683  +  $500,=  ? 

4.. A  man  owes  A  $750,  B  $99.65,  C  $427.80,  D  $3.47, 
E  $697.29,  F  50  dollars,  and  G  45  cents.  What  is  his 
total  indebtedness? 

5.  A  man  bought  2  coats,  costing  $7.50  and  $18;    2 
vests,  costing  $3.20  and  $7.80;  2  pairs  of  pants,  costing 
$4.60  and  $9;  2  hats  costing  $1.85  and  $5.50;  and  3  shirts 
costing  $1.75,  $1.75  and  $3.     What  did  he  pay  for  all? 

6.  I   paid    for   digging   cellar,   $59.75;    for   limestone 
masonry,  $195.40;  for  freestone,  $168.90;  for  brick-work, 
$897.60;  for  carpenter  work,  $528.65;  for  tin  roof,  $179; 
for  iron  work,  $40.60;  for  plastering,  $237.85;  for  paint- 
ing, $153.70;   for  plumbing,  $67.60;    for  gas-fitting,  $39; 
and   for   lightning-rods,   $78.90.      How   much    did    these 
items  cost? 

7.  Bought  a  farm  for  $2750,  a  horse  for  $127.50,  a  cow 
for    $53.60,    mules    for    $286,    sheep    for    $69,    hogs    for 
$268.90,  a  wagon  for  $60.85,  harness  $55.60,  and  plows, 
harrows,  etc.,  $186.40.     How  much  did  I  pay  for  all? 


UNITED  STATES   MONEY.  37 


ARTICLE  57. — Subtraction  of  United  States  Money. 

1.  From  $120.63  take  $87.29. 

2.  Take  $39.82  from  $90.15. 

3.  Take  $76.09  from  $100. 

4.  $1025  — $800.80=? 

5.  $90  less  90  cents  =? 

6.  $78.15  less  $15.78==? 

7.  How   much   must  be   taken   from  $1000    to    leave 
$690.09? 

8.  A  man  commenced  business  with  $16208,  and  lost 
$1069.40;  how  much  had  he  then? 

9.  How  much  must  a  man  invest,  so  that  after  gain- 
ing $1690.18  he  may  have  $8008? 

10.  From  $2000  take  $739.84  twice. 

11.  A   man  owes   $529.60,   and    has  $900;    how  much 
will  he  have  after  paying  his  debts? 

12.  A  man  has  $429.13,  and  owes  $600;    after  paying 
his  money,  how  much  will  he  still  owe? 

ARTICLE  58. — Multiplication  of  United  States  Money. 

1.  Multiply  $8.293  by  24. 

2.  Multiply  $9.835  by  36. 

3.  Multiply  $43.75  by  84. 

4.  Multiply  $8.008  by  65. 

5.  Multiply  $9.12  by  60. 

6.  Multiply  $27.008  by  400. 

7.  Multiply  $29.632  by  750. 

8.  Find  39  times  $.636. 

9.  What  is  891  times  13  cents  6  mills? 

10.  $87,  3  cents  X  3000=? 

11.  $68,  5  mills  X    560=? 

12.  What  cost  49  barrels  of  flour  at  $6.75  a  barrel? 


38  KAY'S  NEW  TEST  EXAMPLES. 

13.  What  cost  67  acres  of  land  at  $159.60  an  acre? 

14.  What  must  be  given  for  34  horses  at  $88.40  each  ? 

15.  What  cost  54  yards  of  grading  at  $7.282  per  yard? 

16.  What  must  be  given  for  89  hogs  at  $8.34  apiece? 

17.  What  cost   956   gallons  of  vinegar   at   12   cents   a 
gallon  ? 

18.  What  will  be  paid  for  526  quarts  of  berries  at  22 
cents  a  quart? 

19.  Sold  351  sheep  at  $2.50  apiece;   how  much   did  I 
receive  for  them? 

20.  What  cost  5000  tickets  at  18  cents  apiece? 

21.  What  cost  42357  yards  of  calico  at  8  cents  a  yard? 

22.  What  cost  4500  bolts  at  6  mills  each? 

23.  How  much  will  a  man  earn  in  57  days  at  $2.25  a 
day? 

24.  What  cost  40  boxes  of  starch,  containing  33  pounds 
each,  at  $.075  per  pound? 

25.  If  a  soldier  receives  a  pension  of  $1.75  per  month, 
how  much  will  38  receive  in  19  months? 

26.  What  cost  40  boxes  of  candy,  40  pounds  each,  at 
40  cents  a  pound? 

27.  What    cost    808    bales    of   cotton,    containing   465 
pounds  each,  at  3  cents  6  mills  per  pound? 

28.  What  cost  87  boxes  of   eggs,  each   containing   72 
dozen,  at  $.125  per  dozen? 

29.  What  cost  9388  papers  of  pins,  each  containing  30 
dozen  pins,  at  2  mills  per  dozen? 

30.  What  will  the  glass  cost  for  8  houses,  each  contain- 
ing  8    rooms,  each   room   having   4  windows,  and  each 
window  4  panes,  at  37  cents  5  mills  per  pane? 

31.  A  man  has  10  casks  of  stove  polish,  containing  425 
pounds   each ;   each   pound  will   fill   6   papers,  sold   at  5 
cents  a  paper.     How  much  will  be  received  for  the  entire 
amount  ? 


UNITED   STATES   MONEY.  39 

V          ^<*>      f  QJ 

32.  What  cost  40  bundles  of  paper,  containing  2  reams 
each,  each  ream  weighing  60  pounds,  at  8  cents  3  miTEr" 
per  pound? 

33.  What  cost  708  boxes  of  tomatoes,  each  containing 
24  cans  of  2  pounds  each,  at  11  cents  a  pound? 

34.  Find  the  cost  of  82  boxes  of  calico,  each  box  con- 
taining 40   bolts,  and  each  bolt  30  yards,  at  $.066  per 
yard . 

35.  Find  the  amount  received  for  5  blocks  of  building 
lots,  each  block  containing  12  lots,  each  lot  being  25  feet 
front,  the  w^hole  being  sold  at  $8.75  per  front  foot. 

36.  What  will  be  the  wages  of  240  men,  employed  17 
days,  of  10  hours  each,  at  17  cents  5  mills  per  hour? 

ARTICLE  59. — Division  of  United  States  Money. 

1.  Divide  $49.50  cents  by  33  cents. 

2.  Divide  $393.75  by  75  cents. 

3.  Divide  $200  by  32  cents. 

4.  Divide  $333  by  45  cents. 

5.  Divide  $1186.98  by  $2.71. 

6.  Divide  $3677.94  by  $5  and  4  mills. 

7.  Divide  $1608.88  by  33  cents  8  mills. 

8.  Divide  $2162.45  by  30  cents  5  mills. 

9.  How   much    muslin,   at   13   cents   a    yard,   can    be 
bought  for  $23.66? 

10.  How  many  sheep,  at   $3.75  apiece,  can  be  bought 
for  $600? 

11.  How  many  needles,  at  3  mills  apiece,  can  you  buy 
for  $19.38? 

12.  At  $1.25  an  acre,  how  much  land  can  you  buy  for 
$995? 

13.  How  many  apples,  at  1  cent  5  mills  each,  must  be 
sold  to  realize  $3? 


40  RAY'S  NEW  TEST  EXAMPLES. 

14.  How  many  planes,  costing  85  cents  each,  can   be 
bought  for  $129.20? 

15.  How  many   20-cent   tickets  must  be  sold  to  make 
the  receipts  $500? 

16.  Divide       $99.48     by      4. 

17.  Divide       $95.004  by       7. 

18.  Divide     $326.36     by       8. 

19.  Divide     $436.032  by       9. 

20.  Divide     $389         by     25. 

21.  Divide     $440.44    by     77. 

22.  Divide  $1500.496  by  491. 

23.  Divide  $4226.427  by  603. 

24.  Nine    horses   cost   me   $1025.01;    find   the  cost   of 
each. 

25.  Sold  43  bushels  of  peaches  for  $120.40;  how  much 
was  that  per  bushel? 

26.  $528.44  was  divided  equally  among  11  heirs;  find 
the  share  of  each. 

27.  What  must  I  charge  per  bushel  for  apples,  so  as  to 
realize  $526.50  for  2340  bushels? 

28.  144    penknives    cost    $90;    how    much    was    that 
apiece  ? 

29.  900  pounds  of  cheese  cost  $49.50;    how  much  did 
one  pound  cost? 

30.  600000  pounds  of  cotton  cost  $45000;  how  much  is 
that  per  pound? 

31.  If  40  horses  cost  $5318,  what  would  76  horses  cost? 

32.  If  38  men  earn  $1136.20  in  26  days,  what  is  each 
man's  daily  wages? 

33.  If  grape  settings  sell  at  $3.50  per  hundred,  how 
much  is  that  apiece? 

34.  What  cost  750  pickles  at  $1.20  per  hundred? 

35.  If   16  chests  of  tea  sell  for  $460.80,  at  60  cents  a 
pound,  how  many  pounds  in  each  chest? 


PKOMISCUOUS  EXAMPLES.  41 


ARTICLE  60. — Promiscuous  Examples. 

1.  Paid  for  land,  $970.50;  for  buildings,  $1963.60;  for 
horses,  $180.75;  for  cattle,  $217.50;  for  seeds,  $29.50;  for 
tools,  $36.40;    for  harness,  $82.50;    for  provisions,  $200; 
and  for  hogs,  $319.25.     Find  the  total  expenditure. 

2.  What  cost  5  sofas,  at  $13.75  each,  and  7  lounges,  at 
$4.60  each? 

3.  Gave  $108  for  45  yards  of  cloth,  which  I  sold  for 
$116.10;  find  my  gain  per  yard. 

4.  A  dealer  bought   peaches  at   $2.50  a  bushel ;    how 
many  bushels   must   he   sell,  at   a  profit  of  70  cents  a 
bushel,  to  receive  $144? 

5.  What  cost  1750  picture  cards  at  $1.40  a  hundred? 

6.  I  saved  $104.52  in  6  months;  if  my  salary  was  $80 
a  month,  what  were  my  expenditures  each  month? 

7.  I  saved  $130.56  in  8  months;  if  my  expenses  were 
$80  a  month,  what  was  my  monthly  salary? 

8.  What  cost  3700  papers  at  $2.20  a  hundred? 

9.  A  company  owes  $120000,  and  its  assets  amount  to 
$30780;    the   deficit   is   collected    from    15000    shares  of 
stock.     How  much  is  that  on  each  share? 

10.  How  much  will  be  left  from  a  hundred  dollar  bill 
after  spending  the  following  amounts:    $3.60,  $11.17,  50 
cents,  $1.96,  $6.40,  $8.33,  $29.08.  and  98  cents. 

11.  A  contractor  agrees  to  grade  a  road  for  $14000;  he 
pays  a  foreman  $5  a  day,  for  80  days;    25  cart  drivers 
$2.25  a  day,  for  75  days;  and  83  laborers  $1.30  a  day  for 
77  days.     Find  his  profit. 

12.  Sold  29  horses  for  $1914,  losing  $159.50;  what  did 
each  cost? 

13.  Sold   a   farm  of  46  acres   for   $3000,  gaining  $7.10 
per  acre;  what  did  the  farm  cost? 


42  KAY'S  NEW  TEST  EXAMPLES. 

14.  What  will  I  save  in  14  months,  if  I  earn  $75  each 
month,  and  spend  $39.25  per  month? 

15.  I  worked  13  weeks  at  $13.75  per  week,  and  saved 
$58.50    during    that    time;    what   were    my   weekly   ex- 
penses? 

16.  How  many  dimes  in  $40? 

17.  How  many  half-eagles  in  $1080? 

18.  How  many  3-cent   pieces  should   be  given  for  240 
eagles? 

19.  How  many   5-cent  pieces  should  be  given  for  720 
quarter-eagles  ? 

20.  If  a  man  had  one  of  each  of  the  gold  coins,  how 
many  quarter-dollars  could  he  get  for  them? 

21.  Invested  $4329  in  cattle  at  $18.50  a  head,  and  sold 
them  at  $23.08  a  head;  what  was  my  gain? 

22.  Bought  a  house  for  $3300 ;  made  some  repairs,  and 
sold  it  for  $4250,  gaining  $487.75.     What  was  the  cost  of 
the  repairs? 

23.  How  many   days,  of  11   hours  each,   must  a  man 
work  to  earn  $499.07,  at  13  cents  an  hour? 

24.  Bought  40600  pounds  of  sugar  for  $2639,  and  sold 
it  at  a  gain  of  5  mills  per  pound;    what  was  my  gain? 

25.  Bought  15600  pounds  of  coffee  for  $5850,  and  sold 
it  for  $6162;  how  much  was  my  gain  per  pound? 

26.  Bought   rice   for  $3573 ;    sold   it   for   5   cents   per 
pound,   gaining    5   mills  per  pound;  how  many  pounds 
did  I  buy? 

27.  What  cost  2468  pounds  of  butter,  on  which  $86.38 
was  gained  by  selling  it  at  30  cents  a  pound? 

23.  Forty  barrels  of  coal  oil  were  bought  for  $241; 
how  much  was  gained  by  selling  at  15  cents  a  gallon, 
there  being  50  gallons  in  each  barrel? 

29.  Fifty  barrels  of  molasses  cost  $1152,  at  48  cents  a 
gallon;  how  many  gallons  in  each  barrel? 


UNITED  STATES  MONEY.  43 

30.  A  team  pays  $1.75  for  toll,  at  the  rate  of  25  cents 
for  10  miles;  how  far  does  it  go? 

31.  The  expenses   of  a  church  festival  were  $237.52, 
and  the  gain  was  $701.98;  how  many  25-cent  tickets  had 
been  sold? 

32.  A  worked  47  days,  at  $2.55  per  day;   B  worked  4 
days  longer  than  A,  but  received  only  the  .same  amount. 
How  much  did  B  earn  per  day? 

33.  Find  the  cost  of  40  boxes,  each  containing  24  cans, 
and  each  can  holding  6  pounds  of  canned  peaches,  boxes 
costing  25  cents  each,  cans  5  cents  each,  and  peaches  4 
cents  per  pound. 

Find  the  amount  of  the  following  bills  : 

34.  35    yards   Muslin,  at  $0,12     per  yard. 


47 

do 

Calico, 

u 

.08 

do. 

23 

do 

Delaine, 

a 

.16 

do. 

13 

do 

Alpaca, 

a 

.35 

do. 

21 

do 

Silk, 

a 

1.05 

do. 

10 

do 

Satin, 

a 

1.25 

do. 

7 

do 

Velvet, 

a 

2.40 

do. 

35.     4 

pounds 

Tea, 

at 

$1.15 

per  pound. 

7 

do 

Coffee, 

u 

.32 

do. 

15 

do 

Sugar, 

tt 

.13 

do. 

20 

do 

Beef, 

tt 

.09 

do. 

17 

do 

Ham, 

a 

.12 

do. 

12 

do 

Cheese, 

a 

.15 

do. 

19 

do 

Starch, 

a 

.09 

do. 

36.  400 

feet 

Pine, 

at 

$0.025 

per  foot. 

720 

do 

Poplar, 

a 

.03 

do. 

560 

do 

Walnut, 

a 

.07 

do. 

875 

do 

Oak, 

a 

.02 

do. 

94 

do 

Beech, 

tt 

.045 

do. 

120 

do 

Cedar, 

n 

.06 

do. 

44  RAY'S  NEW   TEST  EXAMPLES. 

REDUCTION. 
ARTICLE  63. — Dry  Measure. 

1.  Reduce  4  bu.  3  pk.  2  qt.  1  pt.  to  pints. 

2.  Eeduee  9  bu.  2  qt.  1  pt.  to  pints. 

3.  Eeduee  18  bu.  3  pk.  1  pt,  to  pints. 

4.  Reduee  36  bu.  3  qt.  to  pints. 

5.  Reduee  89  bu.  2  pk.  to  quarts. 

6.  Reduee  4789  pt.  to  bushels. 

7.  Reduee  5766  qt.  to  bushels. 

8.  Reduce  99  bu.  3  pk.  7  qt,  1  pt.  to  pints. 

9.  Reduce  583  bu.  1  pt.  to  pints. 

10.  Reduce  123456  pt.  to  bushels. 

11.  Reduce  4933  pk.  to  pints. 

12.  Reduce  25616  bu.  to  pints. 

13.  Reduce  25616  pt.  to  bushels. 

14.  Reduce  12345  qt.  to  pecks. 

15.  Reduce  7  million  bushels  to  quarts. 

ARTICLE  64.—  Liquid  Measure. 

1.  Reduce  38  gal.  3  qt.  to  pints. 

2.  Reduce  1025  gi.  to  gallons. 

3.  Reduce  87634  gal.  to  pints. 

4.  Reduce  93  gal.  2  qt.  1  pt,  to  gills. 

5.  Reduce  23867  pt.  to  gallons. 

6.  Reduce  8642  gal.  to  gills. 

7.  Reduce  99  gal.  3  qt.  2  gi.  to  gills. 

8.  Reduce  3732  gills  to  quarts. 

9.  Reduce  73  gal.  3  qt.  1  pt.  1  gi.  to  gills. 

10.  How  many  gallons  in  33033  cubic  inches? 

11.  How  many  cubic  inches  in  500  gallons? 

12.  A  vessel  measures  52206  cubic  inches;    how  many 
gallons  would  it  hold? 


KEDUCTION.  45 

ARTICLE  65. — Avoirdupois  Weight. 

1.  Eeduce  3  T.  to  pounds. 

2.  Eeduce  5  T.  13  cwt.  to  pounds. 

3.  Eeduce  9  T.  1  cwt.  50  Ib.  to  pounds. 

4.  Eeduce  7  T.  19  cwt.  99  Ib.  to  pounds. 

5.  Eeduce  13  T.  13  Ib.  to  pounds. 

6.  Eeduce  4  T.  17  cwt.  to  ounces. 

7.  Eeduce  3  T.  20  Ib.  5  oz.  to  ounces. 

8.  Eeduce  12945  Ib.  to  tons. 

9.  Eeduce  98400  Ib.  to  tons. 

10.  Eeduce  876543  Ib.  to  tons. 

11.  Eeduce  38742  T.  to  ounces. 

12.  Eeduce  160080  oz.  to  tons. 

13.  Eeduce  71  T.  17  cwt.  71   Ib.  to  pounds. 

14.  Eeduce  711771  Ib.  to  tons. 

15.  Eeduce  40000000  oz.  to  tons. 

16.  Find  the  weight  of  375  balls  weighing  32  pounds 
each. 

17.  Find   the   weight  of  3000000   candles  weighing  3 
ounces  each. 

18.  Find  the  weight  of  3456  20-pound  cannon  balls. 

19.  Eeduce  15999999  oz.  to  tons. 

20.  What  is  the  weight  of  357  boxes  of  alum,  weigh- 
ing 56  pounds  each? 

ARTICLE  66. — Long  Measure. 

1.  Eeduce  49  yd.  2  ft.  9  in.  to  inches. 

2.  Eeduce  53  yd.  7  in.  to  inches. 

3.  Eeduce  41  mi.  200  rd.  to  rods. 

4.  Eeduce  77  yd.  2  ft.  to  inches. 

5.  Eeduce  4953  mi.  to  rods. 

6.  Eeduce  5678  in.  to  yards. 


46  KAY'S  NEW  TEST  EXAMPLES. 

7.  Eeduce  38257  rd.  to  miles. 

8.  Eeduce  498  yd.  11  in.  to  inches. 

9.  Eeduce  373845  rd.  to  miles. 

10.  Eeduce  39G01  in.  to  yards. 

11.  Eeduce  39601   mi.  to  rods. 

12.  Eeduce  39601  rd.  to  miles. 

ARTICLE  67. — Square  Measure. 

1.  Eeduce  7  A.  100  sq.  rd.  to  square  rods. 

2,  Eeduce  3  sq.  mi.  300  A.  to  square  rods. 

3.  Eeduce  19  sq.  mi.  19  A.  19  sq.»rd.  to  square  rods. 

4,  Eeduce   18   sq.  yd.  8  sq.  ft.   118   sq.  in.   to  square 
inches. 

5.  Eeduce  39  sq.  mi.  90  sq.  rd.  to  square  rods. 

6,  Eeduce  99  sq.  yd.  99  sq.  in.  to  square  inches. 

7,  Eeduce  50000000  sq.  mi.  to  square  rods. 

8.  Eeduce  1  billion  square  inches  to  square  yards. 

ARTICLES  68  AND  69. — Rectangles. 

Find  the  area  of  the  following : 

1.  A  floor  18  ft.  long  and  15  ft.  wide. 

2.  A  carpet  27   ft.    long  and  22  ft.  wide. 

3.  A  platform  80  ft.  long  and  16  ft.  wide. 

4.  A  pavement  40  ft.  long  and  9  feet  wide. 

5.  A  ceiling  36  ft.  long  and  20  ft.  wide. 

6.  A  lot  72  rd.  long  and  60  rd.  wide. 

7.  A  farm  80  rd.  long  and  76  rd.  wide. 

8.  A  field  100  rods  square. 
Find  the  cost  of  the  following  : 

9.  The  carpet  in  example  2  at  $1.30  a  sq.  yd. 

10.  The  pavement  in  example  4  at  30  cents  a  sq.  yd. 

11.  The  farm  in  example  7  at  $17.75  per  A. 

12.  The  platform  in  example  3  at  3  cents  per  sq.  ft. 


KEDUCTION.  47 

13.  A  farm  extends  along  the  road  60  rods ;  how  wide 
must  it  be  to  contain  45  A.? 

14.  A  road  is   3  rods  wide;    how  long  must  it  be  to 
contain  120  A.? 

15.  A  farm  is  100  rods  long  and  96  rods  wide;    how 
much  wheat  will  it  produce  at  the  rate  of  13  bushels  to 
the  acre? 

16.  A  roof  100  feet  long  requires  300  square  yards  of 
roofing;   how  wide  is  it? 

17.  A  floor  is  40  feet   long   and  requires   120   square 
yards  of  carpet;   how  wide  is  it? 

ARTICLE  70.— Solid  or  Cubic  Measure. 

1.  Eeduce  3483648  cu.  in.  to  cubic  yards. 

2.  Reduce  3  cu.  yd.  300  cu.  in.  to  cubic  inches. 

3.  Eeduce  746496  cu.  in.  to  cubic  yards. 

4.  Eeduce  9856  cu.  ft.  to  cords. 

5.  Eeduce  11  C.  Ill  cu.  ft.  1111  cu.  in.  to  cubic  inches. 

6.  How  many  cubic  yards  in  a  cellar  40  feet  long,  18 
feet  wide,  and  9  feet  deep? 

7.  How  many  cords  in  a  wood-pile   120  feet  long,  8 
feet  high,  and  4  feet  wide? 

8.  How  many  cubic  yards  of  masonry  in  a  stone  pier 
320  feet  long,  36  feet  wide,  and  12  feet  thick? 

9.  What  will  be  the  cost  of  a  breakwater   900   feet 
long,  6  feet  thick,  and  12  feet  high,  at  $2.75  per  cubic 
yard  ? 

10.  Find  the  cost  of  a  pile  of  wood  40  feet  long,  40 
feet  wide,  and  8  feet  high,  at  $3.75  a  cord. 

11.  How  many  inch  cubes  of  lead  can  be  cast  from  a 
mass  3  feet  long,  1  foot  high,  and  2  feet  wide? 

12.  Find  the  cost  of  digging  a  ditch  12  feet  wide,  6 
feet  deep,  and  285  feet  long,  at  $.75  a  cubic  yard. 


48  KAY'S  NEW  TEST  EXAMPLES. 

ARTICLE  71. —  Time  Measure. 

1.  Eeduce  3  da.  2  hr.  30  min.  to  seconds. 

2.  Eeduce  11  weeks  to  minutes. 

3.  Eeduce  3  wk.  3  da.  3  hr.  3  min.  3  sec.  to  seconds. 

4.  Eeduce  9  wk.  9  hr.  to  seconds. 

5.  Eeduce  43  da.  43  sec.  to  seconds. 

6.  Eeduce  777600  sec.  to  weeks. 

7.  Eeduce  45678  min.  to  days. 

8.  Eeduce  87500  days  to  seconds. 

9.  Eeduce  72000  min.  to  weeks. 

10.  How  many  minutes  in  the  year  1890? 

11.  How  many  minutes  in   the   last   three   months  of 
the  year? 

12.  How  many  seconds  in  February,  1889? 

13.  How  many  seconds  in  5  leap  years? 

14.  Eeduce  3  common  years  to  hours. 

15.  A  clock  ticks   120  times  in  a  minute;    how  many 
ticks  will  it  make  in  the  year  1892? 

16.  Eeduce  19  wk.  5  da.  21  hr.  20  min.  to  minutes. 

ARTICLE  73. — Miscellaneous  Tables. 

1.  Eeduce  17  Ib.  10  oz.  16  pwt.  to  grains. 

2.  Eeduce  18  Ib.  18  gr.  to  grains. 

3.  Eeduce  24  Ib.  11  oz.  19  pwt,  23  gr.  to  grains, 

4.  Eeduce  87340  gr.  to  pounds. 

5.  Eeduce  50660  pwt.  to  pounds.       9 

6.  Eeduce  31275  Ib.  to  pennyweights. 

7.  Eeduce  15  thousand  gr.  to  pounds. 

8.  Eeduce  4  Ib.  4  oz.  4  gr.  to  grains. 

9.  Eeduce  10  Ib.  10  pwt.  to  grains. 

10.  Eeduce  3  Ib  9  §  3  3  1  9  14  gr.  to  grains. 

11.  Eeduce  9  Ib  3  3  2  9  to  scruples. 


REDUCTION.  49 

12.  Eeduce  14  Ib  7  g  7  gr.  to  grains. 

13.  Eeduce  45677  gr.  to  pounds. 

14.  Eeduce  3478  3  to  pounds. 

15.  Eeduce  12345  9  to  pounds. 

16.  Eeduce  7  Cong,  to  f.  g. 

17.  Eeduce  3  O.  2  f.  g  to  minims. 

,      18.  Eeduce  71  Cong.  3  f.  3  to  f.  3. 

19.  Eeduce  4  ft.  6  in.  to  lines. 

20.  Eeduce  5  feet  to  hands. 

21.  Eeduce  17  leagues  to  miles. 

22.  Eeduce  16  spans  to  yards. 

23.  In  17  hands  how  many  feet? 

24.  In  20  yards  how  many  spans? 

25.  Eeduce  52  spans  to  hands. 

26.  Eeduce  80  paces  to  fathoms. 

27.  Eeduce  75  hands  to  fathoms. 

28.  Eeduce  25  chains  to  rods. 

29.  Eeduce  37°,  37',  37"   to  seconds. 

30.  Eeduce  19°,  19"   to  seconds. 

31.  Eeduce  37864"  to  degrees. 

32.  Eeduce  450°  to  seconds. 

33.  How  many  things  in  30  dozen? 

34.  How  many  things  in  15  gross? 

35.  How  many  things  in  5  great  gross? 

36.  Eeduce  15  score  to  dozens. 

37.  Eeduce  360  score  to  gross. 

38.  What  cost  12  kegs  of  nails  at  6  cents  a  pound? 

39.  What  cost  12  barrels  of  flour  at  3  cents  a  pound  ? 

40.  What  cost  12  barrels  of  pork  at  8  cents  a  pound? 

41.  What  cost  12  casks  of  lime,  at  6  mills  per  pound? 

42.  What  cost  1872  rings  at  80  cents  a  gross? 

43.  What  cost  7  great  gross  of   needles,  at  3  cents  a 
dozen? 

44.  What  cost  7  great  gross  of  pins  at  3  cents  a  gross? 

R.  T.  E.— 4. 


50  KAY'S  NEW  TEST  EXAMPLES. 

45.  What  cost  9  gross  of  braces,  at  7  cents  apiece? 

46.  What  cost  18  quires  of  drawing  paper  at  4  cents  a 
sheet? 

47.  How  many  sheets  of  paper  in  6  bundles? 

48.  A  ream  of  paper  will  make  how  many  8vo.  leaves? 

49.  Three  reams  of  paper  will  make  how  many  12 mo. 
pages? 

50.  How  many  reams  of  paper  will  be  required  for 
3000  octavo  books  of  320  pages  each? 

ARTICLE  74. — PromiscMous  Examples. 

1.  Eeduce  49  yd.  2  ft.  to  inches. 

2.  Eeduce  7  Ib.  3  pwt.  to  grains. 

3.  Eeduce  174528  sq.  in.  to  square  yards. 

4.  Eeduce  12500"   to  degrees. 

5.  Eeduce  504000  cu.  in.  to  cubic  yards. 

6.  Eeduce  3  Ib  7  3  2  9  to  grains. 

7.  Eeduce  863990  sec.  to  weeks. 

8.  Eeduce  3329  pt.  to  bushels. 

9.  Eeduce  14  great  gross  to  dozens. 

10.  Eeduce  7  T.  13  cwt.  to  pounds. 

11.  Eeduce  3734  in.  to  yards. 

12.  Eeduce  15  cords  to  cubic  inches. 

13.  Eeduce  5678  pt.  to  gallons. 

14.  Eeduce  1016064  Ib.  flour  to  barrels. 

15.  Eeduce  5400  scores  to  gross. 

16.  Eeduce  3456  bu.  to  quarts. 

17.  Eeduce  39750  pwt.  to  pounds. 

18.  Eeduce  14  T.  14  Ib.  to  ounces. 

19.  Eeduce  23  gallons  to  f.  3. 

20.  Eeduce  333360  min.  to  weeks. 

21.  Eeduce  7599  pt.  to  gallons. 

22.  Eeduce  435670  sq.  rd.  to  square  miles. 


REDUCTION.  51 

23.  Keduce  240  mi.  to  rods. 

24.  Eeduce  78  gal.  3  qt.  1  pi.  to  pints. 

25.  Eeduce  19  wk.  20  sec.  to  seconds. 

26.  Eeduce  310  mi.  310  rd.  to  rods. 

27.  Eeduce  49600  oz.  to  T. 

28.  Eeduce  one  million  sec.  to  weeks. 

29.  Eeduce  384  cu.  yd.  to  cords. 

30.  Eeduce  5350  Ib.  to  grains. 

31.  Eeduce  12345  qt.  to  bushels. 

32.  Eeduce  13  common  years  to  minutes. 

33.  Eeduce  12  cu.  yd.  23  cu.  ft.  to  cubic  inches. 

34.  Eeduce  39  T.  39  Ib.  to  pounds. 

35.  Eeduce  8  Ib  8  §  8  gr.  to  grains. 

36.  Eeduce  46  sq.  yd.  2  sq.  ft.  36  sq.  in.  to  sq.  in. 

37.  Eeduce  9876  pt.  to  gallons. 

38.  Eeduce  10000  in.  to  yards. 

39.  Eeduce  1284  pt.  to  bushels. 

40.  Eeduce  11  §  7  3  2  9  to  grains. 

41.  Eeduce  5  sq.  mi.  5  sq.  rd.  to  square  rods. 

42.  Eeduce  162  C.  to  cubic  yards. 

43.  Eeduce  26  reams  to  16 mo.  leaves. 

44.  Eeduce  47580"  to  degrees. 

45.  Eeduce  one  million  pt. .to  gallons. 

46.  Eeduce  3500  gr.  to  g. 

47.  Eeduce  6399  pt.  to  bushels. 

48.  Eeduce  24  reams  to  sheets. 

49.  Eeduce  793863  sq.  in.  to  square  yards. 

50.  Eeduce  one  million  oz.  to  tons. 

51.  Eeduce  79  yd.  11  in.  to  inches. 

52.  Eeduce  19  C.  1600  cu.  in.  to  cubic  inches. 

53.  Eeduce  704000  sq.  rd.  to  square  miles. 

54.  Eeduce  137  bu.  3  pk.  to  pints. 

*55.   Eeduce  5  wk.  5  da.  15  hr.  55  sec.  to  seconds. 
56.  Eeduce  13  mi.  130  rd.  to  rods. 


52  KAY'S  NEW  TEST  EXAMPLES. 

57.  Reduce  1600  barrels  of  pork  to  pounds. 

58.  Eeduce  30  T.   1  cwt.  to  ounces. 

59.  Reduce  217728  cu.  in.  to  cubic  yards. 

60.  Reduce  6920  pt.  to  gallons. 

61.  Reduce  10  great  gross  to  scores. 

62.  Reduce  456789  oz.  to  tons. 

63.  Reduce  ten  thousand  pt.  to  bushels. 

64.  Reduce  14°  23"   to  seconds. 

65.  Reduce  4720  qt.  to  gallons. 

66.  Reduce  one  million  sq.  in.  to  square  yards. 

67.  Reduce  6732  in.  to  yards. 

68.  Reduce  5280  minims  to  f.  3. 

69.  Reduce  565  bu.  1  pt.  to  pints. 

70.  Reduce  3456000  sec.  to  weeks. 

71.  Reduce  3456000  12mo.  pages  to  reams. 

72.  Reduce  288000  oz.  to  tons. 

73.  Reduce  387  A.  100  sq.  rd.  to  square  rods. 

74.  Reduce  17  leagues  to  rods. 

75.  Reduce  87  cu.  yd.  25  cu.  ft.  to  cords. 

76.  What  cost  35  bushels  of  apples  at  18  cents  a  peck? 

77.  What  cost  13  bushels  of  salt  at  3  cents  a  pint? 

78.  How    much   iron   will    be   required   to   make   1000 
4-oz.  spikes? 

79.  How  much  wine  will  be  needed  to  fill  80  dozen  pint 
bottles  ? 

80.  A  man's  expenses  are  $1.17  a  day;    how  much  is 
that  for  July? 

81.  How   many   rings,  weighing  6  pwt.  each,  can   be 
jnade  from  3  Ib.  of  gold? 

82.  414  gallons  of  brandy  were  put  in  bottles  contain- 
ing 3  gills  each;  how  many  dozen  bottles  were  required? 

83.  Find  the  cost  of  a  pile  of  wood  40  feet  long,  8  feet 
wide,  and  8  feet  high,  at  $3.75  per  cord. 

fi4   What  cost  20  bushels  of  apples  at  20  cents  a  peck? 


REDUCTION.  53 

85.  A  lawn  120  feet  long,  and  54  feet  wide,  was  sodded 
at  a  cost  of  19  cents  per  square  yard;  what  was  the  total 
cost? 

86.  561    pounds   of  iron   were    made    into   horse-shoes 
weighing  6  ounces  each;   how  many  were  made? 

87.  How  many  3-grain  pills  can  be  made  from  5§  of 
quinine? 

88.  If  sound  moves  1124  feet  per  second,  how  long  will 
it  be  in  passing  over  39340  yards? 

89.  How  many  bottles,  holding  1  pt.  3  gi.  each,  can  be 
filled  from  168  gallons? 

90.  A  comet  moves  40"  per  day;  how  far  will  it  move 
in  120  days? 

91.  What  cost  a  carpet  21  feet  long  and  15  feet  wide, 
at  $1.75  per  square  yard? 

92.  How  many  pounds  in  480  dozen  boxes  of  baking 
powder  holding  15  ounces  each? 

93.  How    much    silver   will    be    required    to   make   10 
dozen  spoons,  each  weighing  15  pwt.? 

94.  How  many  cords  of  wood  can  be  cut  on  25  acres, 
at  the  rate  of  72  cubic  feet  to  a  square  rod? 

95.  If  bottles  hold  1  pt.  2  gi.  each,  how  many  dozen 
bottles  can  be  filled  from  126  gallons? 

96.  How  many  sashes,  each  3  yd.  1  ft.  long,  can  be  cut 
from  200  yards  of  silk? 

97.  500  bushels  of  peaches  were  packed   in   baskets, 
each  holding  3  pk.  1  qt. ;    how   many  baskets  were  re- 
quired? 

98.  A    paper    containing    2    5    1    9   of  medicine   was 
divided   into   pills    weighing   5   grains  each,  which   were 
sold    at   2    cents   apiece;     how    much    was    received    for 
it? 

99.  If  25  sq.  rd.  produce  1  bushel  of  wheat,  how  many 
bushels  can  be  raised  on  a  square  mile  ? 


54  RAY'S  NEW  TEST  EXAMPLES. 

100.  If  a  weaver  can  weave  10  sq.  ft.  of  carpet  in  an 
hour,  bow  many  sq.  yd.  can  he  weave  in  15  days,  work- 
ing 12  hours  per  day? 

101.  How    many    plates,   each    weighing    2   Ib.    8   oz., 
would  be  required  to  weigh  7  tons? 

102.  What  cost  3  Ib.  4  oz.  of  gold   plate,  at  $.95  per 
pwt.  ? 

103.  Three  cwt.  of  indigo  was  put  up  in  ounce  papers; 
how  many  dozen  papers  would  that  give? 

104.  A  cistern  containing  3003  gallons  is  emptied  by  a 
pipe  carrying  1  gal.  1  gi.  per  minute;  how  long  will  it 
take  to  empty  it? 

105.  A  boy  walks  a  rod  in  3  seconds;  how  long  will  he 
be  in  walking  15  miles? 

106.  At  5  cents  a  pint,  how  many  bushels   of  straw- 
berries can  be  bought  for  $20? 

107.  A  publisher  issued  an  edition  of  5000  12mo.  books 
of  288  pages  each ;   how  many  reams  of  paper  were  re- 
quired ? 

108.  If  a  pint  of   water  weigh  one  pound,  how  many 
gallons  will  be  required  to  make  a  weight  of  8  tons? 

109.  What  cost  13  yards  of   antique   lace,  at   $20  per 
inch? 

110.  What   sum   will   be   received    for    57    bushels    of 
apples,  at  24  cents  per  peck? 

111.  What  will  be  the  cost  of  fencing  a  field  180  rods 
long  and  56  rods  wide,  at  75  cents  per  rod? 

112.  Three  ounces  and  two  drams  of  medicine  was  di- 
vided into  powders  weighing  13  grains  each;  how  much 
would   be  received  for  the  powders,  at   15  cents  apiece? 

113.  Fifteen  bushels  of  cherries  cost  $33.60;  how  much 
is  that  per  pint? 

114.  How  much  will  a  man  earn  in  9  weeks,  at  $2.25 
per  day? 


REDUCTION.  55 

115.  A  ship  sails  10'   30"   per  hour;    how  many  days 
will  it  take  to  sail  28°? 

116.  What  will  wine  cost,  to  fill  40  dozen  bottles,  hold- 
ing 3  gills  each,  at  $2.50  a  gallon? 

117.  A  block  of  stone  is  8  ft.  long,  8  ft.  wide,  and  8  ft. 
thick  ;  how  much  will  it  weigh  if  a  cu.  ft.  weighs  625  Ibs? 

118.  Find   the   cost   of   300   bushels  of  oysters,  at   12 
cents  per  peck. 

119.  If  a  railway  train  can  go  22  miles  160  rods  in  1 
hour,  how  long  will  it  require  to  go  1710  miles? 

120.  What  cost  9  tons  of  hay,  at  9  mills  per  pound? 

121.  A   tank    will    hold    1000   gallons   of  water ;    how 
many  cubic  feet  in  it? 

122.  A  steel   plate  is  2  feet  long  and   16  inches  wide, 
and   weighs   2   ounces   to  each   square  inch  ;  what  is  it 
worth,  at  $0.075  per  pound? 

123.  A  man's  income  being  $1.33  every  hour,  what  will 
it  be  in  the  year  1895? 

124.  What  cost  375  fathom  of  rope,  weighing  2  pounds 
per  foot,  at  5  cents  5  mills  per  pound? 

125.  How  many  score  in  30  great  gross? 

126.  Sold  berries  at  6  cents  a  pint,  and  realized  $15.12  ; 
how  many  bushels  were  sold? 

127.  What  cost  400  gallons  of  molasses,  at  7  ct.  a  pint? 

128.  How  many  rings,  weighing  6  ounces  each,  can  be 
made  from  141  pounds  of  iron? 

129.  How  many  plates,  weighing  6  ounces  each,  can  be 
made  from  141  pounds  of  silver? 

130.  Wheat  weighs  60  pounds  per  bushel  ;  find  the  cost 
of  30720  pounds,  at  90  cents  a  bushel. 

131.  What  will  be  the  cost  of  paving  a  street  2700  feet 
long,  and  40  feet  wide,  at  $0.72  per  square  yard? 

132.  If  a  machine  will  peg  a  shoe  in  4  minutes,  how 
many  dozen  will  it  peg  in  6  daystof  10  hours  each? 


56  KAY'S  NEW  TEST  EXAMPLES. 

133.  A  cistern  containing  480  gallons  of  water  has  two 
leaks:    from  one,  3  gills  run  out  per  minute;    from  the 
other,  13  gallons  per  hour.     How  much  wTill   be  left   in 
the  cistern  at  the  end  of  8  hours? 

134.  550   bushels   of  corn  were  bought   at   44   cents  a 
bushel,  and  retailed  at  14  cents  a  peck;  how  much  was 
gained  ? 

135.  How   long  would   it   take   a   tortoise   to    crawl   a 
league,  moving  4  rods  an  hour  and  15  hours  a  day? 

136.  A  man  eats  2  Ib.  3  oz.  daily;    how  many  weeks 
would  2  T.  9  cwt,  last  him? 

137.  A   had    150    barrels   of  flour ;    B    had    the   same 
weight  of  beef;    how  many  barrels  would  it  fill? 

138.  How  many  bags,  of  2  bu.  2  qt.  each,  will  be  re- 
quired to  contain  2145  bushels  of  wheat? 

139.  How  long  would  it  take  to  build  a  road  8G  mi.  20 
rd.  long,  if  1  mi.  20  rd.  can  be  made  in  a  day? 

140.  What  cost  256    cubic   yards  of  wood,  at   $3.17  a 
cord? 

141.  If  3  bu.  2  pk.  of  berries  cost  $8.40,  how  much  is 
that  per  quart? 

142.  A  man  poured  48  gallons  of  wine  into  bottles  con- 
taining 1  qt.  1  pt.  each,  and  sold  them  at  60  cents  per 
bottle  ;  how  much  did  he  receive? 

143.  How  many  gallons  of  essence  will  be  required  to 
fill  40  gross  of  bottles,  each  to  contain  1  fluid  ounce? 

144.  How  many  labels,  2  in.  long  and  1  in.  wide,  can 
be  cut  from  6  sheets  of  paper,  each  4  ft.  wide  and  8  ft. 
long? 

145.  If  1   bu.   1   pk.   of  peaches  cost  $3,  what  will   1 
bushel  cost? 

146.  Twenty-four   sheets  were   folded   in   12mo. ;    how 
many  sheets  would  be  required  to  make  as  many  quarto 
leaves? 


COMPOUND  NUMBEKS.  57 

COMPOUND  NUMBERS. 

ARTICLE  75. — Addition  of  Compound  Numbers. 

1.  Add  together  4  bu.  2  pk.  5  qt. ;  17  bu.  3  pk.  1  qt. ; 
9  bu.  2  pk.  6  qt. ;  16  bu.  3  pk.  5  qt. ;  5  bu.  1  pk.  3  qt; 

2  bu.  7  qt. ;  1  pk.  2  qt. ;  and  3  bu.  3  qt, 

2.  Add  together  199  bu.  2  pk.;  83  bu.  3  pk. ;  65  bu. 
1  pk.;  88  bu.  2  pk.  ;  100  bu.  2  pk.  ;  116  bu.  1  pk.  ;  134 
bu.  3  pk.;  and  111  bu.  2  pk. 

3.  27  gal.  3  qt.  1  pt,  +  27  gal.  2  qt.  1  pt.  4-  27  gal.  1 
qt.  1  pt.  4-  27  gal.  1  pt.  +  27  gal.  3  qt.  -f  27  gal.  2  qt.  + 
27  gal.  1  qt.  =  ? 

4.  3  T.  17  cwt.  60  Ib.  +  5  T.  15  cwt.  70  Ib.  +  4  T.  90 
lb.  +  9  T.  19  cwt.  99  Ib.  -f  7  T.  16  cwt.  4-  5  cwt.  92  lb.r=? 

5.  15  gal.  1  pt,  4-  16  gal.  1  qt.  4-  17  gal.  1  qt.  1  pt.  + 
18  gal.  2  qt.  +  19  gal.  1  pt.  4-  20  gal.  3  qt.  4-  21  gal.  1 
pt.  4-  22  gal.  3  qt.  1  pt.  =  ? 

6.  Find  the  sum  of  7  cwt,  29  lb. ;  9  cwt.  40  lb.  ;  16 
cwt,  67  lb. ;  13  cwt.  28  lb. ;  12  cwt.  71  lb.  ;  10  cwt.  60  lb. ; 

3  cwt.  33  lb.;  and  16  cwt.  72  lb. 

7.  29  gal.  2  qt.  1  pt,  4-  29  gal.  2  qt.  1  pt.  4-  29  gal.  2 
qt.  1  pt,  4-  29  gal.  2  qt.  1  pt.  4-  29  gal.  2  qt,  1  pt.  -f  29 
gal.  2  qt,  1  pt,  ==? 

8.  Find  the  sum  of  7  yd.  2  ft.  11  in.  ;  4  yd.  1  ft.  7  in.; 
12  yd.  2  ft.  5  in.;  9  yd.  1  ft,  1  in.  ;  12  yd.  1  in.  ;  15  yd. 
1  ft.  5  in.  ;  6  yd.  7  in.  ;  and  10  yd.  1  ft.  11  in. 

9.  Add  together  7  yd.  2  ft.  ;  7  yd.  2  in.  ;  6  yd.  1  ft.  7 
in.  ;  4  yd.  11  in.  ;  9  yd.  2  ft.  6  in.  ;  3  yd.  3  in.  ;  12  yd.  2 
ft.  ;  and  6  yd.  10  in. 

10.  75  A.  4-*75  sq.  rd.  4-  76  A.  76  sq.  rd.  4-  77  A.  77  sq. 
rd.  4-  78  A.  78  sq.  rd.  4-  72  A.  72  sq.  rd.  4-  119  A.  140 
sq.  rd.  ==  ? 


58  BAY'S  NEW  TEST  EXAMPLES. 

11.  7  sq.  yd.  7  sq.  ft.  77  sq.  in.  +  8  sq.  yd.  8  sq.  ft.  88 
sq.  in.  -f-  22  sq.  yd.  22  sq.  in.  -f  49  sq.  yd.  4  sq.  ft.  48  sq. 
in  +  39  sq.  yd.  96  sq.  in.  ==  ? 

12.  Find  the  sum  of  3  sq.  mi.  300  A. ;  7  sq.  mi.  500  A. ; 

4  sq.  mi.  444  A.  ;  2  sq.  mi.  222  A.  ;  10  sq.  mi.  229  A.  ; 
and  5  sq.  mi.  555  A. 

13.  27  cu.  yd.  26  cu.  ft.  -f  26  cu.  yd.  25  cu.  ft.  +  25  cu. 
yd.  24  cu.  ft.  +  24  cu.  yd.  23  cu.  ft.  +  23  cu.  yd.  22  cu. 
ft.  +  22  cu.  yd.  21  cu.  ft,  =  ? 

14.  25  C.  17  cu.  ft.  +  25  C.  1700  cu.  in.  +  25  C.  117  cu. 
ft.  1170  cu.  in.  -f  252  C.  1717  cu.  in.  +  28  C.  127  cu.  ft.+ 
19  C.  127  cu.  ft.  1727  cu.  in.  ==? 

15.  3  da.  13  hr.  20  min.  +  7  da.  17  hr.  27  min.  -f-  3  da. 
13  hr.  33  min.  +  6  da.  23  hr.  +  4  da.  6  hr.  56  min.  +  11 
da.  11  hr.  11  min.  +  19  da,  19  hr.  59  min.  =? 

16.  5  da.  59  min.  -|-  5  da.  58  min.  +  5  da.  57  min.  + 

5  da.  56  min.  -|-  5  da.  55  min.  -f-  5  da.  54  min.  -f-  5  da.  53 
min.  —  ? 

17.  4  Ib.  9  oz.  12  pwt.  +  6  Ib.  7  oz.  18  pwt.  +  3  Ib.  10 
oz.  10  pwt.  +  5  Ib.  11  oz.  +  2  Ib.  11  pwt.  +  6  Ib.  6  oz. 
16  pwt.  +  13  Ib.  13  pwt,  =:? 

18.  2  5  2  9  10  gr.  +  7  3  19  gr.  +  5  3  1  9  16  gr.  +  5  3 
10  gr.  +  2  3  2  9  1  gr.  +  5  3  1  9  4  gr.  ==  ? 

19.  533329  +  432319  +  7529  +  7329  + 

2543l9+3g5329+7319+73l9=? 

20.  4  score  and  6  +  3  score  and  ten  +  4  score  and  8  + 
4  score  and  9  +  2  score  and  18  +  3  score  and  12  ==  ? 

21.  14°  35'   23"  +17°    49'   49"  +26°    30'   10"  +30° 
59'   1"  +  7°  24'   48"  +  13°  29'   50"  +  9°  59"  =  ? 

22.  8°  15'   28"  +  6°  28'   29"  +  7°  30'   30"  +  11°  44' 
32"  +13°  31'   31"  +13°  30'    31"  =  ? 

23.  3  cong.  7  O.  11  f.  §  +  5  corig.  4  O.  9  f .  §  +  7  cong. 
7  O.  7   f.  %  +  9   cong.  5   f.  3  +  7  cong.  7  O.  +  5  O.  15 
f.      =? 


COMPOUND  NUMBERS.  59 


24.  2  f.  g  4  f.  3  20  HL+  3  f.  g  5  3  40  rTt+  7  f.  3  3  f. 
3  40  nt+6  f.  §  2  f.  3  20  nt  =  ? 

25.  Seven  barrels  of   whisky  were  guaged  as  follows: 
49  gal.  3  qt.  ;  51  gal.  2  qt.  ;  48  gal.  3  qt.  ;  55  gal.  2  qt.  ; 
52  gal.  2   qt.  ;    53  gal.    1   qt.;    and   50  gal.   2   qt.     How 
much  in  all? 

26.  How  much  wood  in  5  piles,  containing  respectively 
25  C.  87  cu.  ft,;  56  C.  112  cu.  ft.  ;  39  C.  41  cu.  ft.  ;  43  C. 
16  cu.  ft.;  and  88  C.  88  cu.  ft.? 

27.  Eggs  were  packed  in  6  boxes  :   29  doz.  and  7  ;  40 
doz.  and  10  ;  35  doz.  and  5  ;  60  doz.  and  10  ;  38  doz.  and 
9  ;  and  52  doz.  and  7.     How  many  dozen  in  all  ? 

28.  Find  the  weight  of  8  hogsheads  of  sugar,  weighing 
as  follows:  11  cwt.  83  Ib.  ;  12  cwt.  46  Ib.  ;  11  cwt.  55  Ib.  ; 
12  cwt,  19  Ib.  ;  13  cwt,  1  Ib.  ;  12  cwt.  52  Ib.  ;  11  cwt.  93 
Ib.;  and  12  cwt,  51  Ib. 

29.  A  farmer  planted  17  A.  100  sq.  rd.  in  wheat,  21  A. 
120  sq.  rd.  in  oats,  30  A.  50  sq.  rd.  in  corn,  13  A.  60  sq. 
rd.  in  potatoes,  7  A.  40  sq.  rd.  in  sorghum,  and  11  A.  110 
sq.  rd.  in  broom-corn.     How  much  land  had   he  in  cul- 
tivation? 

30.  A  vessel  sailed  13  da.  7  hr.  to  the  first  port,  and 
stopped  there  2   da.   20   hr  ;    then   25   da.   20   hr.  to  the 
second  port,  and  stopped  there  3  da.  23  hr.  ;  then  40  da. 
5  hr.  to  the  third  port,  and  stopped  there  2  da.  19  hr.  ; 
then  60  da.  16  hr.  to  the  starting  point.     How  long  was 
the  voyage? 

31.  A  railroad  train  traveled  as  follows:  14  mi.  125  rd. 
to  first  station;  9  mi.  77  rd.  to  second;  16  mi.  62  rd.  to 
third;    31    mi.  35    rd.  to  fourth;    11  mi.  83  rd.  to    fifth; 
and   then    18   mi.    98   rd.    to   its  destination.     What  was 
the  length  of  the  trip? 

32.  Set  down  3  da.  13  hr.  39  min.  26  sec,  seven  times, 
and  then  add  them. 


60  KAY'S  NEW  TEST  EXAMPLES. 


ARTICLE  76. — Subtraction  of  Compound  Numbers. 

1.  From  40  bu.  take  20  bu.  3  qt. 

2.  39  bu.  1  pk.   1  qt.  —  19  bu.  3  pk.  3  qt.  =  ? 

3.  From  100  gal.  take  49  gal.  3  qt,  2  gi. 

4.  From  353  gal.  1  pt.  take  203  gal.  3  qt, 

5.  From  3  T.  13  cwt.  23  Ib.  take  1  T.  18  cwt.  5  Ib. 

6.  From  1   T.   1  cwt.  1   Ib.  1  oz.  take  11  cwt.  11  Ib. 
11  oz. 

7.  From  47  mi.  180  rd.  take  23  mi.  250  rd. 

8.  From  16  yd.  2  ft.   1  in.  take  9  yd.   1  ft,  2  in. 

9.  81  yd.  6  in.  —  18  yd.  8  in.  =  ? 

10.  From  9  sq.  mi.  100'  A.  take  4  sq.  mi.  370  A. 

11.  39  sq.  yd.  4  sq.  ft.  44  sq.  in.  —  21  sq.  yd.  7  sq.  ft. 
89  sq.  in.  =? 

12.  From  300  sq.  mi.  300  A.  100  sq.  rd.  take  100  sq.  mi. 
300  A.  150  sq.  rd. 

13.  From  36  cu.  yd.  10  cu.  ft.  800  cu.  in.  take  8  cu.  yd. 
19  cu.  ft.  900  cu.  in. 

14.  Take  18  C.  1500  cu.  in.  from  81  C.  1478  cu.  in. 

15.  5  hr.  6  min.  22  sec.  —  2  hr.  20  min.  20  sec.  =  ? 

16.  From  7  wk.  6  da.  5  hr.  4  min.  3  sec.  take  3  wk.  4 
da.  5  hr.  6  min.  7  sec, 

17.  Take  9  Ib.  7  oz.  16  pwt.  from  15  Ib.  3  oz.  3  pwt. 

18.  5tb4g3519  —  21b6g6329=_-? 

19.  From  14°  7'  10"  take  9°  18'  30". 

20.  From  19  reams  take  12  reams  4  quires. 

21.  From  3  gross  4  dozen  take  1  gross  8  dozen. 

22.  From  1   O.  3  f.  g  2  f .  3  take  13  f.  §. 

23.  If  25  bu.  3  pk.  2  qt.  have  be.en  sold  from  40  bu.  of 
peanuts,  what  quantity  is  left? 

24.  A  farmer  has  450  bu.  of  potatoes;    if  he  sells  273 
bu.  2  pk.  what  quantity  will  he  have  left? 


COMPOUND  NUMBERS.  61 

25.  The  time  between  two  cities  by  steamer  is  2  wk. 
2   hr. ;    by   railroad,   5   da.    19    hr. ;    how   much    time    is 
gained  by  the  railroad  route? 

26.  From  a  tank  containing   327   gal.  2   qt.   1   pt.,  10 
gal.   3  qt.   1  pt.  leaked  out;  how  much  remains? 

27.  If  a  tract  of  36  A.  120  sq.  rd.  be  cut  from  a  farm 
of  120  A.,  how  much  will  be  left? 

28.  A  quantity  of  pig  iron,  weighing  17  T.  5  cwtv  48 
lb.,   was   melted   to   make   stove   castings,   which,   when 
cast,  weighed  17  T.  1  cwt.  90  lb. ;  how  much  metal  was 
lost  in  the  work? 

29.  From  a  pile  of  wood  containing  106  C.  105  cu.  ft., 
there  was  taken  away  a  boat  load  of  87  C.  120  cu.  ft. ; 
how  much  remained? 

30.  A  cart  weighed   13  cwt.   80  lb.,  and,   after   being 
filled  with  coal,  weighed  3  T.  11  cwt.  90  lb. ;    what  was 
the  weight  of  the  coal? 

31.  A  ship  was  13°  7'  20"  from  a  port,  and  sailed  4° 
43'  40"  toward  it;    how  far  from  the  port  was  it  then? 

32.  How   much   will   be   left   of  a  mass   of    medicine 
weighing  1  lb  1  3.,  after  7  g  5  3  2  9  10  gr.  have  been 
made  into  pills? 

33.  A  boat  laden  with  750  T.  60  lb.  was  sunk,  and  473 
T.  90  lb.  of  the  freight  was  saved;  how  much  was  lost? 

34.  The  regular  time  between  two  cities  was  100  hr. 
10  min.,  and  the  train  arrived  3  hr.  52  min.   ahead  of 
time;  how  long  had  it  taken  to  make  the  run? 

35.  A  man  contracted  to  deliver  100  C.  of  wood,  and 
has  only  78  C.   96  cu.   ft.;  how  much   does  he  lack? 

36.  A  man  having  89  bu.  1  pk.  of  clover  seed,  sold  37 
bu.  3  pk.  to  each  of  his  two  brothers;  how  much  has  he 
remaining? 

37.  From  30   days  subtract  5  da.    12  hr.    19  minutes 
three  times. 


62  KAY'S  NEW  TEST  EXAMPLES. 


ARTICLE  77. —  Time  between  two  dates. 

1.  Money  was  borrowed  May  18,  1882,  and  returned 
Jan.  6,  1884;  how  long  had  it  been  kept? 

2.  The  battle  of  Monmouth  was  fought  June  28,  1778, 
and    the  battle  of  Antietam  September  17,  1862;   -what 
time  elapsed  between  the  two  events? 

3.  Washington  was  born  February  22,  1732,  and  died 
December  14,  1799;  at  what  age  did  he  die? 

4.  The  pilgrims  landed  December  21,  1620;  how  long 
was  that   before  the  Declaration  of  Independence,  July 
4,  1776? 

5.  What  time  elapsed  between  the  surrender  at  York- 
town,  October  19,  1781,  and  the  signing  of  the  treaty  of 
peace,  September  3,  1783? 

6.  A  child  born  December  3,  1876,  commenced  school 
August  27,  1883  ;   at  what  age  was  that? 

7.  How  old  was  Washington  at  the  battle  of  Mon- 
mouth?    (See  examples  2  and  3.) 

8.  What  time  elapsed  from  the  battle  of  Lexington, 
April  19,  1775,  to  the  firing  on  Fort  Sumter,  April    12, 
1861? 

ARTICLE  78. —  Time  in  days  between  two  dates. 

1.  Find    the   number   of   days    from  Aug.    5   to   the 
second  day  of  the  next  December. 

2.  How  many  days   from  Nov.   15,  1871,  to  Jan.  18, 
1872? 

3.  How  many  days  from   Oct.  20,  1877,  to  Mar.   15, 
1878? 

4.  How  many  days  from  Jan.    12,  1880,  to  Oct.   15, 
1880? 

5.  How  many  days  from  June  5  to  Dec.  25? 


COMPOUND  NUMBERS.  63 

6.  A  servant  was  hired  May  18,  and  discharged  No- 
vember 29;   for  how  many  days  should  she  be  paid? 

7.  How   many    days   from   Apr.    6,  1875,   to   Apr.   1, 
1876? 

8.  Corn  was  planted  April  18,  and  was  ripe  Septem- 
ber 27;   how  many  days  was  that? 

ARTICLE  79. — Multiplication  of  Compound  Numbers. 

1.  3  bu.  2  pk.  5  qt.  1  pt.  X  8  =  ? 

2.  7  gal.  3  qt.  1  pt.  3  gi.  X  8  =  ? 

3.  3  cwt.  27  Ib.  8  oz.  X  10  =  ? 

4.  5  yd.  2  ft.  7  in.  X  H  -•=? 

5.  3  sq.  yd.  7  sq.  ft.  72  sq.  in.  X  6=? 

6.  7  cu.  ft.  700  cu.  in.  X  10=? 

7.  3  oz.  7  pwt.  10  gr.  X  24  =  ? 

8.  3  3  2  9  12  gr.  X60=? 

9.  3  gal.  1  pt.  1  gi.  X?2=? 

10.  2°  10'  20"  X  36=? 

11.  3  quires  10  sheets  X  120=? 

12.  3  mi.  190  rd.  X?7=? 

13.  13  hr.  24  min.  36  sec.  X  99  =  ? 

14.  What   will  be  the  weight  of  27  castings,  1    T.  12 
cwt,  42  Ib.  each? 

15.  If  an  acre  will  produce  6  bu.  3  pk.  5  qt.  of  wheat, 
how  much  can  be  raised  on  20  acres? 

16.  If  a  stream  flows  17  yd.  2  ft.  8  in.  in  a  minute, 
how  far  would  that  be  in  an  hour? 

17.  If  a   square   rod   produces   7   qt.    1   pt.    of  straw- 
berries, what  quantity  could  be  raised  on  1  A.? 

18.  A   steamer  makes  a  trip   in  1  da.  5  hr.  19  min.; 
what  time  would  be  required  for  20  trips? 

19.  If  a  quart  of  berries  can  be  picked  in  14  min.  20 
sec.,  how  long  would  it  take  to  pick  1  pk.  ? 


64  KAY'S  NEW  TEST  EXAMPLES. 

20.  If  a  herd  of  cattle   consumes  9  T.  3  cwt.   18  Ib. 
daily,  how  much  fodder  would  be  required  for  the  month 
of  November? 

21.  If  34  sq.  yd.  8  sq.  ft.  60  sq.  in.  of  flooring  are  re- 
quired for  one  floor,  how   much  will  be  needed   for  14 
floors  ? 

22.  If  1  qt.  of  seed  will  produce  1  bu.  1  pk.  1  qt.  of 
grain,  how  much  grain  will  1  bu.  of  seed  produce? 

ARTICLE  80. — Division  of  Compound  Numbers. 

1.  Divide  32  bu.  1  pk.  3  qt.  by  9. 

2.  Divide  1  T.  9  cwt.  80  Ib.  8  oz.  by  8. 

3.  Divide  22  yd.  2  ft.  by  6. 

4.  Divide  8  sq.  yd.  4  sq.  ft.  16  sq.  in.  by  10. 

5.  Divide  2  da.  15  hr.  12  min.  by  18. 

6.  Divide  3  oz.  11  pwt.  16  gr.  by  20. 

7.  Divide  2  §  6  3  by  12. 

8.  Divide  225  gal.  3  qt.  1  pt.  2  gi.  by  30. 

9.  Divide  238  yd.  1  ft.  by  33. 

10.  Divide  67  sq.  yd.  by  54. 

11.  Divide  230  da.  13  hr.  20  min.  by  100. 

12.  Divide  19  cu.  yd.  9  cu.  ft.  864  cu.  in.  by  19. 

13.  A  man  raised  237  bu.  3  pk.  2  qt.  of  raspberries  on 
10  A.  ;  how  much  was  that  per  acre? 

14.  If  19  jars  would  contain  103  gal.  3  qt.  1  pt.  1  gi., 
what  would  one  contain? 

15.  If  11  cwt.  79  Ib.  12  oz.  of  sugar  be  packed  in  12 
kefirs,  how  much  will  each  contain? 

O  "  ' 

16.  One   hundred   cu.   yd.   of  earth   are  to  be  hauled 
away  in  18  carts;  how  much  will  that  be  for  each? 

17.  A  glacier  moved  43  yd.  in  701   da.  13  hr.  22  min.; 
how  long  did  it  take  to  move  1  yd.? 


LONGITUDE  AND  TIME. 


65 


18.  A  planet   moved    13°    30'  -50"    in    25   days;   what 
would  be  the  average  motion  per  day? 

19.  Fifteen  equal  bins  contain  3740  bu.  2  pk.  4  qt.  of 
wheat;  how  much  is  in  each? 

20.  A  steamer  goes  183  mi.  144  rd.  per  day;  how  far 
is  that  per  hour? 

21.  In  7  days,  of  10  hours  each,  a  furnace  will  turn  out 
242  T.  18  cwt.  of  blooms;  how  much  is  that  per  hour? 

22.  A  gardener  raised  275  bu.  of  beets  on  an  acre  of 
ground  ;  what  was  the  yield  per  square  rod  ? 


LONGITUDE   AND   TIME. 

ARTICLES  81  AND  82. 

Find  the  differences  in  time,  corresponding  to  the  following 
differences  in  longitude: 


1.  40°. 
2.  33°  20'. 
3.  36°  17'. 
4.  69°  51'. 

5.  100°  10'. 
6.  49°  13'  30". 
7,  66°  45". 
8.  70°  17'  15". 

9.  99°  9'. 
10.  111°  51'  30". 

11.  58°  58'  15". 
12.  97°  53'. 

Find  the  differences  in  longitude,  corresponding  to  the  fol- 
lowing differences  of  time: 

13.  11  hr.  17  min.  13  sec. 

14.  6  hr.  59  min.  17  sec. 

15.  10  hr.  10  min.  10  sec. 


16.  7   hr.  17  min.  27  sec. 


17.  15  hr.  14  min.  29  sec. 

18.  4  hr.  45    min.  10  sec. 

19.  5  hr.  29  min.  25   sec. 

20.  47  min.  47  sec. 


21.  A  man  travels  east  29°;  will  his  watch  be  fast  or 
slow  then,  and  how  much? 

22.  A  boat  sails  47°  west ;  how  much  will    her    chro- 
nometer gain  or  lose  on  the  time  at  the   point   reached  t 

R.  T.  E.— 5. 


66 


KAY'S  NEW  TEST  EXAMPLES. 


23.  A  team  travels  eastward  45'  a  day;  will  its  day  be 
lengthened  or  shortened,  and  how  much? 

24.  What  is  the  difference  of  time  between  two  places 
whose  longitudes  are  29°  east,  and  54°  west? 

25.  When  it  is  7  o'clock  A.  M.  at  a  place  in  93°  west 
longitude,  what  is  the  time  at  another  place  in  39°  west 
longitude? 

26.  When  it  is  7  o'clock  A.  M.  at  a  place  in  107°  east 
longitude,  what  is  the  time  at  another  place  in  40°  east 
longitude? 

27.  When  it  is  11  o'clock  A.  M.  at  a  place  in  40°  west 
longitude,  what  is  the  time  at  another  place  in  70°  east 
longitude  ? 

28.  When  it  is  3  o'clock    P.  M.  at  a  place  in  3°  east 
longitude,  what  is  the  time  at  another  place  in  68°  west 
longitude? 

29.  When  it  is  6  o'clock  A.  M.  in  90°  east  longitude, 
what  is  the  time  in  90°  west  longitude? 

30.  What  is  the  difference  of  time  between  two  places, 
one  in  37°  35'  east  longitude,  the  other  in  47°  10'  west 
longitude? 


FA  CTORING. 

ARTICLE  87. 


Find  the  Prime  Factors: 


1.  Of  51. 

8.  Of  120. 

15.  Of  252. 

2.  Of  52. 

9.  Of  132. 

16.  Of  561. 

3.  Of  62. 

10.  Of  168. 

17.  Of  882. 

4.  Of  63. 

11.  Of  196. 

18.  Of  828. 

5.  Of  72. 

12.  Of  198. 

19.  Of  2662. 

6.  Of  75. 

13.  Of  204. 

20.  Of  3087. 

7.  Of  76. 

14.  Of  207. 

21.  Of  4356. 

FACTORING. 


67 


What  Prime  .  Factors 

1. 

60 

and 

80? 

2. 

90 

and 

120? 

3. 

80 

and 

120? 

4. 

135 

and 

180? 

5. 

126 

and 

210? 

6. 

324 

and 

432? 

7. 

324 

and 

594? 

8. 

264 

and 

638? 

9. 

462 

and 

819? 

10. 

385 

and 

595? 

11.  363  and  1419? 


ARTICLE  88. 

are  common  to  : 

12.  48,  72,  and  84? 

13.  78,  104,  and  143? 

14.  192,  252,  and  348? 

15.  64,  104, 144,  and  376? 

16.  135,  180,210,and375? 

17.  144,  168,  192,  and  240? 

18.  117,  143,  286,  and  390? 

19.  126,  196,  238,  and  266? 

20.  187,  231,  275,  and  308? 
.21.  147,  210,  315,  and  364? 

22.  384,  486,  324,  and  510? 


ARTICLE  89. —  Greatest  Common  Divisor. 


Find  the  Greatest  Common 

1.  Of  48  and  84. 

2.  Of  40,  60,  and  90. 

3.  Of  117  and  171. 

4.  Of  889  and  560. 

5.  Of  124  and  600. 

6.  Of  390  and  702. 

7.  Of  392  and  637. 

8.  Of  770  and  891. 

9.  Of  873  and  378. 

10.  Of  656  and  1066. 

11.  Of  980  and  2401. 

12.  Of  3003  and  21000. 

13.  Of  1008  and  1584. 

14.  Of  1296  and  2304. 

15.  Of  16983   and    18574. 

16.  Of  243,  324,  and  432. 


Divisor  : 

17.  Of  56,  84,  and  126. 

18.  Of  80,  120,  and  180. 

19.  Of  468,  648,  and  864. 

20.  Of  675,  945,  and  1053. 

21.  Of     980,     2002,     and 

15001. 

22.  Of  289,  391,  and  493. 

23.  Of  288,  387,  and  486. 

24.  Of    3375,    8205,    and 

15000. 

25.  Of  81,  135,    450,  and  ' 

780. 

26.  Of  63,  144,   216,  and 

297. 

27.  Of  1120,  960,  888,  and 

666. 


68 


RAY'S  NEW  TEST  EXAMPLES. 


ARTICLE  90. — Least  Common  Multiple. 


Find  the  Least  Common  Multiple  : 


1.  Of    8,  12,  16,  and  20. 

2.  Of    9,  12,  16,  and  20. 

3.  Of  12,  16,  20,  and  24. 

4.  Of  16,  20,  25,  and  40. 

5.  Of  36,  42,  48,  and  54. 

6.  Of  24,  30,  42,  and  28. 

7.  Of  60,  66,  30,  and  36. 

8.  Of  21,  35,  55,  and  84. 

9.  Of  16,  18,  20,  and  22. 

10.  Of  16,  18,  20,  and  30. 

11.  Of 


12.  Of  18,  20,  24,  and  36. 

13.  Of  24,  54,  84,  and  144. 

14.  Of  121  and  122. 

15.  Of  221  and  323. 

16.  Of  169  and  325. 

17.  Of  343  and  T35. 

18.  Of  150,  225,  and  375. 

19.  Of  100,  200,  and  300. 

20.  Of  14,  24,  44,  and  42. 

21.  Of  143  ami;  175. 

22.  Of  143  and  176. 


16,  18,  20,  and  24. 

23.  Of  12,  16,  24,  36,  and  72. 

24.  Of  30,  36^48,  64,  and  80. 

25.  Of  18,  26,  54,  and  78. 

26.  Of  576,^84,  288,  768,  and  256. 

27.  Of  8,  9,  10,  11,  a*id  12. 

28.  Of  45,  75,  81,  72,  and  54. 

29.  Of  245,  343*  441,  and  98. 

30.  Of  123,  205;  287,  and  246. 


ARTi£LE*,91. — Cancellation. 

1.  How  often  is  12  Contained  in  4  times  27? 

2.  Divide  18  X  21  by  14  X  9. 

3.  In  16  times  18  how  many  times  12? 

4.  How  often  is  6  X  8  contained  in  16  X  18? 

5.  How  many  score  in  12  X  25? 

6.  How  many  flower-beds  4  feet  long  and  3  feet  wide, 
can  be  made  from  a  plat  36  feet  long  and  18  feet  wide? 

7.  Divide  8  X  9  X  10  X  12  by  3  x  *  X  5  X  6- 


FRACTIONS. 


69 


8.  Sold    six    dozen    tumblers    at   8    cents  apiece,   and 
spent  the  money   for  yarn   at   18   cents   a   pound;    Low 
many  pounds  did  I  receive? 

9.  How  many  barrels  of  sugar,  at  $15  a  barrel,  will 
pay  for  18  hogs,  at  $20  apiece? 

10.  DLvide  18  X  20  X  24  X  32  by  27  X  16  X  40. 

11.  How  many  lots   5   feet   square  can  be  cut  from   a 
lot  30  feet  square? 

12.  Divide  18  X  17  X  16  X  15  by  2x3x4x5x6. 

13.  A  quantity  of  iron  will  make  three  hundred  30-lb. 
castings;  how  many  25-lb  castings  will  it  make? 

14.  Twenty  reams  of  paper,  of  20  quires  each,  and  each 
quire  24  sheets,  and  each  sheet  making  24   pages,  were 
made  into  books  containing  160  pages  each ;  how  many 
dozen  books  would  there  be? 

15.  How  many  hundred  blocks  3  in.  long,  2  in.  wide, 
and  1  in.  thick,  can  be  made  from  a  block  5  ft.  long,  3 
ft.  wide,  and  5  in.  thick? 


FRACTIONS. 

ARTICLE  103. — Reduction  of  Integers  to  Fractions  of  given 

Denominators. 
Reduce : 

10.  200  to  twelfths. 

11.  37  to  eighteenths. 

12.  34  to  fortieths. 

13.  14  to  twentieths. 

14.  27  to  thirteenths. 

15.  31  to  sixteenths. 

16.  67  to  twenty-seconds. 

17.  19  to  ninetieths. 

18.  81  to  twenty-ninths, 


1. 
2. 

3. 

4. 
5. 
6. 

7, 
8. 


14  to  sevenths. 

23  to  elevenths. 

7  to  twenty-thirds. 

63  to  eighteenths. 

90  to  ninths. 

31  to  thirty-seconds. 

3  to  fifty -sixths. 

26  to  eighths. 


9,  ol5  to  ninths. 


70 


RAY'S  NEW  TEST  EXAMPLES. 


ARTICLE  104. — Case  II. 

Reduce  the  following  to  Improper  Fractions : 


1.   15|. 

Q       1  Q    1 
O.     1  ^ingf. 

15.  562T3f. 

2.  19f 

9.  28||. 

16.  100^ 

3.  991. 

10.  45^. 

17.  682}>, 

4.  73TV 

n"**  )    fi 
.       YOy8^. 

18.  129^f, 

5.  36&. 

12.  29^. 

19.  29T-fT. 

6.  42  ji 

13.  272ft. 

20.  21TV. 

7.  176f 

14,  396^4T. 

21.  73f|. 

ARTICLE  105.  —  Case  III. 

Reduce  the  following  to  Integers  or  Mixed  Numbers 

1.   4£7. 

Q      2468 

15.  .a..o<p. 

2.  £fs-. 

9.  -34f^- 

16.  -^-y/. 

3,    i--2  3.9  a 

10.    -7-pi-9 

n3402 
*        42' 

4.    Ifp. 

n.  4V- 

18.    12  13.  4_ 

5.  4J^o. 

12.    -3.1L7-.3.. 

1  Q      7630 
1J7.      ~"oT"  —  • 

6.  ^61^. 

13.  -4-||^. 

20.  *-*&*. 

7,  4|i£. 

14.    46  78 

21.    461.8-. 

ARTICLE  106. — Case  IV. 

1.  Eeduce  T4T  to  thirty-thirds. 

2.  Reduce  T5^  to  sixtieths. 

3.  Eeduce    f    to  fortieths. 

4.  Eeduce    |    to  thirty-fifths. 

5.  Eeduce  ^  to  hundredths. 
Reduce  the  following  fractions  : 

6.  f       to  a  fraction  whose  denominator  is 
y§  i  B        ^          ^  ^  ^  « 

g      1  2  u  u  ^  «  <' 

Q      11  u  a  u  a  a 


126. 
105. 
156. 
171. 


FRACTIONS. 


71 


Reduce  ^he  following  fractions  : 

10.  -        to  a  fraction  whose  denominator  is     280. 


U-  if 

12-  H 


17.  e 


19- 
20. 


345. 
336. 

464 

416. 
1368. 
7744. 
4560. 
3604. 


6698. 


ARTICLE  107. —  Case  V. 
Reduce  the  following  to  their  Lowest  Terms : 


i.  m- 

2.  T\V 

3.  f&f 
4. 


6. 

7.  Ml- 


89200 
*  T^TFTir 

9-  MM- 

10.  ifff 

11.  |f|i, 

12. 
13. 

14-  f|f  |. 


15. 

17. 
18. 
19. 
20. 
21. 


tt»- 


im- 


ARTICLE  108.— Cfrse   F/. 
Reduce  the  following  to  Least  Common  Denominators . 


I 


2.  i.  5. 

3.  |,  i 

^-   I?  yV'  tV 

5-  !,  A.  A.  *V 

6-  1,  A-  A-  A- 


9-  it,  II,  Jf.  ii 
10.  T\,  A,  T9,r- 

11-  i  I,  I,  I,  TV 

12-  A-  A.  T9TT,  H- 

13-  f.  i  4,  tJ,  t- 

^'    T'    T2>    2T?    T2' 


72 


RAY'S  NEW  TEST  EXAMPLES. 


20. 

21- 
22. 


A.  t,  A,  if- 

A,  A,  A,  i- 
A,  A>  A>-A- 

3        5          9          7 
¥>    TT>    ?8>    3?- 

ji,  A.  I-  f 

I,  A,  7,  T3r- 
f  ,  $,  A>  A- 


23.  -A,  A,  &,  &. 

24.  If,  If,  If,  1TV 

25-  2|,  A,  3A,  U- 

26.  H,  H.  H,  11- 

27     4    A    i      4 

'     7'     8'     9'     IIP 

28-  if,  2,  if,  if,  i 

29-  . 


30.  f, 


A. 


ARTICLE  110. — Addition  of  Fractions.     Case  I. 


Add  the  following  fractions: 

i-  A.  H,  H,  it- 

2-  T%>  A>  li>  A- 

3.   13.     J.4     J.5     JL6. 

5.  ii,  if,  if,  if. 

6-  7V,  If,    If,   TV 

7-  ft,    ft,   It,   It- 

ARTICLE  111. 


s.  ft,  n,  it,  ft- 

9-  if,  if,  li,  If- 


12-  T7&, 
!*•  I7?7?,  T¥TT>  T¥T>  TF7;- 
//. 


Me  following  quantities  : 


2- 


55 
~$i   IT' 


H.  tt.  if- 

i,  i,  A- 

H»  if.  tt 

|,  4,  f  . 
TV,  A- 
H.  T!'  if 

8-  I,  I,  I,  f 

9-  |,  f,  |,  f 

10.  4|,  3|,  8^,  6f. 

11.  54,  6|, 


5. 
6- 

7- 


12.  12|,  16|, 

13.  38|,  38A, 

14.  1231,1351,147^,1501 

15.  725^,871,931,691}. 

16-  |,  f,  I,  |,  |. 

17-  f  f ,  |,  f 

18.  H,  H,  H,  H,  lA- 

19.  2 1,  2|,  2|,  2-1   2H. 

20.  If,  If,  2|,  7|. 

21.  %  2^  31,  4J. 

22.  A,  A.  A,  A,  A,  1- 


FRACTIONS. 


73 


23.  If,  If,  If,  li,  ITV 

24.  01   6f,  7f ,  7f,  8f . 

25.  1%  17f ,  8H,  7T\,  4J 

26.  If,  If,  1T\,  1T%,  If 


27.  f  f,  f,  T\. 

28.  234$,  236f ,  2381,  2391 

29.  12f,  124g,  if,  I7f,  181 

30.  If,  If,  If,   111    19ff- 


914    —192    _<, 


-34ft=? 


llf 


ARTICLE  113. — Subtraction  of  Fractions.     Case  I. 

1.   From   18i£  take 

2 

3. 

4. 

5. 

6. 

7. 

8. 

9. 
10. 
11. 
12. 


13. 

14.  168J 

15.  2991 
16. 

17.  400 

18.  736 
19. 

20.  365          -    37 

21.  423if  -  -  237 
22. 

23. 


-  47H 

-  47f 

-367if 


3-|    — 59  7  f      =? 

94.     (^7^109 9QJ.47     V 

A*.    Ji3j2^         ««**tYfr — 


ARTICLE  114. —  Case  II. 


1.  From     | 

2.  From     % 

3.  From  j£ 

4.  From  ^ 

5.  From     | 

6.  From  ^J- 

7.  From  f| 

8.  From     f 

9.  From  j| 

10.  From  ft 

11.  From     6 

12.  From  6| 


take  |. 
take  ^-. 
take  -f$. 
take  ^-. 
take  T5^. 
take  T75. 
take  ^. 
take  |. 
take  |f. 
take  ft. 
take  2^ 
take  211 


13.  From  1^  take  |f 

14.  From  15T\  take  8. 

15.  From  8^  take  7f 

16.  From  13||  take  5TV 

17.  From  6^  take  £J. 

18.  From  800  take  147|J. 

19.  From  728|  take  149||. 

20.  From  24J|  take  19Jf 

21.  From  48J|  take  26£f 

22.  From  432|  take  329TV 

23.  From      16980f     take 

7991-^-. 


74 


RAY'S  NEW  TEST  EXAMPLES. 


ARTICLE  115. — Multiplication  of  Fractions. 


Multiply  together: 

1-  I,  A 

2-  A.  A- 

3-  M,  it- 

4-  If,  M- 

5-  it,  tJ. 

ft       15       21 

D<  TT'    TTF' 

7      7       4      _6_ 
8'    ^'     2  1  * 

8-  !,  ii  If 
«•  I,  t,  if- 

in        6        2ff      S3 

1U>  TT>  -JT'  rr 

11.  V,  ¥,  ff 

12.  3-f,  2|. 

13.  5i  61,  5£. 

*^Ty~j  ^T?  "Q"" 

15.  5i,  5^,  5-^. 

16.  4f,  6,  3 


17.  35|,  9. 

18.  i  150,  6rV 

19.  325£,  10|. 

20.  13f,  13|. 

21.  15621,  1562^. 

22.  3i,  %  % 

23.  8,  7|,  5. 

24.  4f ,  5|,  5|,  3J. 

25.  5i,  61,  74,  8f 

26.  A,  6,  4|,  5|. 

27.  11   %  H,  2|. 

28.  8f,  3f,  7,  3|. 

29.  2|,  2f,  2f,  2A- 

30.  7,  7|,  8,  8J,  9. 

31.  8,  8-|,  8|,  9. 

32.  T\,  3|,  %  %  6. 


ARTICLE  116. — Fractional  Parts  of  Integers. 


1.  What  is  -jJj-  of  100? 

2,  What  is    f    of    87? 

3,  What  is  f£  of    80? 

4,  What  is  if  of    70? 

5.  What  is  ¥8T  of      9? 

6.  What  is         of    43? 


7.  What  is  If     of    18? 

8.  What  is  ft    of    72? 

9.  What  is  -jW  of    17? 

10.  What  is  f|     of  200? 

11.  What  is  £i    of  120? 

12.  What  is  J|     of    67? 


ARTICLE  117. — Compound  Fractions. 

Reduce  the  following  to  Simple  Fractions : 

1.  f  of  ||,  5.  l-i  of  if. 

2.  -f  of  H.  6.  |i  of  ||. 

3.  |  of  2i  7.  /r  of  -2^. 

4.  f  of  13|.  8.  fj  of  llf 


FRACTIONS. 


75 


9.  _y_  Of  Y. 

10.  rto  of  A. 

11.  if  of  llf 
12.  |  of  |  of  10t  • 
13.  |  of  |  of  13i, 

o     y       o 

16.  A  of  1 
17.  T\  of  | 
18.  ||  of  -i 

19.  «  of  ; 

20.  if  of  \ 

§-  of  1  of  31. 

04        o 

-  of  T\  of  ^. 
-f  of  -%°-  of  6f 

-7T  Of  A  Of  f  f  • 

J  of  |  of  4|. 

14.  A  of  - 

t  of  24f 

21. 

it  of  M  °f  ^  °f  4f  • 

15.  if  of  - 

[for 

f 

of 

4f 

22. 

foff 

of  If  of 

&* 

23. 

•ft 

of 

f 

of  -|  of 

H  of 

18i. 

B 

24. 

-v- 

of 

¥• 

Of  2T  Of 

130|. 

25. 

if 

of 

it 

of  |f  of 

4|. 

26. 

ii 

of 

it 

of  -y  of 

17|. 

27. 

M 

of 

if 

of  ft  of 

1%  of 

90. 

28. 

of 

it 

of  ti  of 

4  of  6i- 

ARTICLE  118. — Miscellaneous  Examples. 

Find  the  cost  : 

1.  Of  3f  Ib.  of  sugar,  at  8£  ct.  a  Ib. 

2.  Of  5  yd.  muslin,  at  11^  ct.  a  yd. 

3.  Of  7|  Ib.  cheese,  at  8£  ct.  a  Ib. 

4.  Of  312^  Ib.  of  brass,  at  27|  ct.  a  Ib. 

5.  Of  4|  yd.  of  fence,  at  $2|  a  yd. 

6.  Of  \1\  Ib.  of  coffee,  at  $f  a  Ib. 

7.  Of  2|  mi.  of  road,  at  $17200  a  mi. 

8.  Of  18  bu.  of  potatoes,  at  $f  a  bu. 

9.  Of  38f  Ib.  of  steel,  at  12£  ct.  a  Ib. 

10.  Of  6f  Ib.  of  rice,  at  6|  ct.  a  Ib. 

11.  Of  13^  oz.  of  copper  wire,  at  7^  ct.  an  oz. 

12.  Of  4728  Ib.  of  pork,  at  3f  ct.  a  Ib. 

13.  From  |  of  17|  take  1  of  17|. 

14.  To  |  of  52  add  f  Of  5f . 

15.  Multiply  |  of  7i  by  f  of  7i. 

16.  How  far  can  a  boat  move  in  6|  hours,  at  the  rate 
of  13^  miles  per  hour?  ^.»» 


76 


RAY'S  NEW  TEST  EXAMPLES. 


17.  What  cost  8-1-  T.  of  hay,  at  $1G|-  a  T.? 

18.  A  man  owning  47^  A.  of  land,  sold  f  of  it ;  how 
many  acr.es  has  he  remaining? 

19.  A  man  had  25|  cords  of  wood,  and  burned  |  of  it ; 
how  much  remains? 

20.  What  cost  8000  torches  at  £  ct.  each? 

21.  What  would  be  the  value  of  f  of  a  farm  of  58*- 
acres,  at  $7^  an  acre? 

22.  A  man  earned  $7^  a  week,  for  6|-  weeks,  and  saved 
^  of  his  wages;   how  much  did  he  save? 

23.  An  iron  bar  was  8^  feet  long;  ^  of  it  being  broken 
off,  the  remainder  was  sold  for  21  ct.  a  Ib.     How  much 
was  received  for  it,  the  weight  being  8^  Ib.  per  foot? 

24.  A  had  57^  acres;  B,  49^  acres;  each  gave  the  other 
£  of  his  own  land;  how  much  more  had  A  then  than  B? 


ARTICLE  119. — Division  of  Fractions. 


1.  Divide  f  by  f. 

16.  Divide  f  by  25. 

2.  Divide  f  by  |. 

17.  Divide  800  by  T8T. 

3.  Divide  9£  by  6f 

18.  Divide  15^T  by  4f 

4.  Divide  18£  by  2f. 

19.  Divide  18|  by  13^. 

5.  Divide  17$  by  f 

20.  Divide  7j  by  If  ' 

6.  Divide  f  by  20. 

21.  Divide  3^  by  4f 

7.  Divide  4£  by  4f 

22.  Divide  675  by  li. 

8.  Divide  19T\  by  3f. 

23.  Divide  39TV  by  4}. 

9.  Divide  2$  by  5f  ° 

24.  Divide  3964  by  4J. 

6         J           b 

10.  Divide  13^  by  4\, 

25.  Divide  13|  by  47|. 

11.  Divide  27£  by  If 

26.  Divide  8|  by  40o! 

12.  Divide  2|  by  8£. 

27.  Divide  67f  by  3|. 

13.  Divide  19|  by  4T4T. 

28.  Divide  6|  by  llf 

14.  Divide  18f  by  4^. 

29.  Divide  44589  by  39f 

15.  Divide  180  by  3f 

30.  Divide  347^  by  123|. 

FRACTIONS.  77 

31.  What  cost  1  egg,  at  17|  ct.  a  dozen? 

32.  If  7  meir  earn  $243^,  what  will  each  man's  share 
be? 

33.  A  farm  of  287f  acres  was  divided  among  5  chil- 
dren ;   what  would  be  the  share  of  each  ? 

34.  How  much    silk   could   be  bought   for  $£,  at  $3  a 
yard? 

35.  If  4|  Ib.  cheese  cost  80  ct,  find  the  cost  of  1  Ib. 

36.  At  4-j^  ct.  a  Ib.,  how  many  pounds  of  rice  can  be 
bought  for  75  ct.? 

37.  How  much  coffee,  at  37^  ct.  a  pound,  can  be  bought 
for  10  ct.? 

38.  How  many  apples,  at  ^  ct.  each,  can  be  bought  for 
15  cents? 

39.  How  much  saffron,  at  $16  an  ounce,  can  be  bought 
for  If? 

40.  If  1^  oz.  of  quinine  cost  $4^,  how  much  is  that  per 
ounce  ? 

41.  At  $2-|  per  day,  how  many  days  must  a  man  work 
to  earn  $22i? 

42.  How  much  must  a  man  charge  per  hour  to  receive 
$lf  for  9£  hours? 

43.  How  many  yards  of  muslin,  at  6-|  ct.  a  yd.,  can  be 
bought  for  80  ct.? 

44.  If  2%  Ib.  of  butter  cost  $1^,  how  many  pounds  can 
be  bought  for  $4£? 

45.  A  man  chops  14^-  C.  in  4|  da. ;    how  long  will  it 
lake  him  to  chop  23|  C.? 

ARTICLE  120. — To  find  what  part  one  number  is  of  another. 

1.  7-J-  is  what  part  of  20  ? 

2.  16|  is  what  part  of  62  £? 

3.  |  is  what  part  of  28? 

4.  4|  is  what  part  of 


78 


RAY'S  NEW  TEST  EXAMPLES. 


5.  7T3^  is  what  part  of  ±v^ : 

6.  8f  is  what  part  of  105? 

7.  19f  is  what  part  of  30|? 

8.  84-f-  is  what  part  of  90f  ? 

9.  What  part  of  102  is  4£? 

10.  What  part  of  77$  is  3|? 

11.  What  part  of  91|  is  13|  ? 

12.  What  part  of  194  is  3f  ? 

13.  |  of  16|  is  what  part  of  f  of  34f  ? 

14.  $  of  33|  is  what  part  of  f  of  50^  ? 

15.  |f  of  |f  is  what  part  of  -^  of  90^? 

16.  -fa  of  30£  is  what  part  of  T^  of  20|? 

ARTICLE  121. — Reduction  of  Complex  Fractions. 
Reduce  the  following  to  Simple  Fractions : 


a 


24| 

4.  4— 

5.  ^L 


e. 


7 
"" 


8.  J_. 


9. 

5lf 

10.  !t 

84 


954-' 


. 

t)9f 
13.  ^ 


14. 

109 


15. 


53f 


ARTICLE  122. 

1.  By  what  must  7^  be  multiplied,  to  give  the  product 
? 

2.  By  what  must  7£  be  divided  to  make  the  quotient 


FRACTIONS.  79 

3.  How  many  pounds  of  sugar  can  be  bought  for  42| 
ct.,  at  9-J-  ct.  a  lb.? 

4.  Bought  5 1  A.  of  land  for  $77  ;  what  was  the  price 
per  A.? 

5.  Divide  f  of  ?i  by  f  of  ||. 

6.  I  had  23|  A.  of  land,  and  sold  f.  of  it  for  $1045; 
how  much  was  that  per  A.? 

7.  If  2^  yd.   of  cloth  cost    $3^,   how   much   can   be 
bought  for  $4£? 

8.  If  2^   lb.   of   honey   cost    $f,   how   much   can   be 
bought  for  $10^? 

9.  How  often  will  Li  contain  _ i? 

10.  A  boy  had  $i,  and  spent  -§-  of  it  for  cherries;  how 
many  straps,  at  $^j  each,  can  he  buy  with  the  balance 
of  his  money? 

11.  I  am  offered  141  A.  for  $1034  ;  I  have  only  $100  ; 
how  many  acres  should  I  receive  for  my  money? 

12.  Divide  ?i  by  1M. 

04      J       q  3 

13.  I  had  $43^,  which  I  paid  for  gold  at  $T91J  a  pwt.; 
I  had  the  gold  made  into  rings  weighing  1^  pwt.  each; 
how  many  rings  were  made? 

14.  By  what  must  L|  be  divided  to  make  a  quotient 

equal  to  _*? 

15.  By    what    must    10    be    multiplied,    so    that    the 
product  may  be  y1^? 

16.  I  had  4^  bl.  of  glue,  and  gave  J  of  my  lot  to  my 
brother  for  $25-|;  how  much  was  that  per  bl.J^^ 

17.  If  7|  yd.  of  cloth  cost  $16^,  how  manjr  yards  can 
be  purchased  for  $28|? 


80  KAY'S  NEW  TEST  EXAMPLES. 


ARTICLE  123.— Fractional  Compound  Numbers. 

1.  How  many  yards  in  24  rcl.? 

2.  How  many  sq.  yd.  in  1  A.? 

3.  How  many  years  in  14690  days? 

4.  What  cost  141-  \^  of  coffee  at  27  ct.  a  lb.? 

5.  Eeduce  84  sq.  rd.  to  sq.  ft. 

6.  What  cost  112|  yd.  of  paving,  at  $8-J  per  rod.? 

7.  A   field   is   37£    rd.   long,  and    25i    rd.   wide;    how 
many  sq.  rd.  in  it? 

8.  What  cost  1463  yd.  of  telegraph  wire,  at  20  ct.  a 
rod? 

9.  How  much  will  43560  sq.  yd.  of  land  cost  at  $13.75 
an  acre? 

10.  What  cost  51|  bu.  of  wheat  at  16  J  ct.  a  peck? 

11.  Eeduce  12  yr.  300  da.  to  hr. 
Find  the  cost  of: 

12.  17|  yd.  of  silk,  at  87£  ct.  a  yd. 

13.  37^  bu.  of  potatoes,  at  56|  ct.  a  bu. 

14.  26f  yd.  of  tape,  at  1£  ct.  a  yd. 

15.  6^  oz.  of  pepper,  at  4J  ct.  an  oz. 

16.  18£  lb.  of  ham,  at  10J  ct.  a  lb. 

17.  14^  oz.  of  copper,  at  2}  ct.  an  oz. 

18.  Eeduce  53000  ft.  to  mi. 

19.  Eeduce  3  A.  120  sq.  rd.  to  sq.  yd. 

20.  Eeduce  127512  in.  to  mi. 

21.  How  many  sq.  in.  in  3  A.? 

22.  A   field   93£  rd.  long  contains  7  acres;    how  wide 
is  it? 

23.  How  many  steps  2  ft.  9  in.  long  must  be  taken  in 
going  5  mi.? 

24.  A  glacier  moves  2J  in.  in  a  day;  how  long  will  it 
take  it  to  move  one  mile? 


FRACTIONS.  81 


ARTICLES  124  AND  125. — Reduction  to  Lower  Denominations. 

1.  Reduce  T|^  bu.  to  the  fraction  of  a  quart. 

2.  Eeducc  -fa  gal.  to  the  fraction  of  a  pint. 

3.  Reduce  ^Vfr  cw^  *o  ^nc  fraction  of  an  oz. 

4.  Reduce  -g^Vo"  A.  to  the  fraction  of  a  sq.  yd. 

5.  Reduce  T|^  cu.  yd.  to  the  fraction  of  a  cu.  ft. 

6.  Reduce  T^T  yr.  to  the  fraction  of  a  day. 

7.  Reduce  -£fa  Ib.  to  the  fraction  of  an  oz  (Iron). 

8.  Reduce  y^V^  Ib.  to  the  fraction  of  a  pwt. 

9.  Reduce  Ty7  g  to  the  fraction  of  a  scruple. 

10.  Reduce  y^Vfnr  S(l-  m^-  to  the  fraction  of  a  sq.  rd. 

11.  Reduce  TTJ^TTTTTF  cu-  7^.  to  the  fraction  of  a  cu.  in. 

12.  Reduce  -^-Q-^  da.  to  the  fraction  of  a  sec. 

13.  Reduce  -g-^V^F  ^u-  ^°  ^ne  fraction  of  a  pt. 

14.  Reduce  y^y^or  w^-  ^°  ^ne  fraction  of  a  min. 

15.  Reduce  -£fa  gal.  to  the  fraction  of  a  gill. 

16.  Reduce  i|  gal.  to  integers. 

17.  Reduce  T7T  T.  to  integers. 

18.  Reduce  ^  mi.  to  integers. 

19.  Reduce  ||  A.  to  integers. 

20.  Reduce  £  yr.  to  integers. 

21.  Reduce  £  Ib.  Troy  to  integers. 

22.  Reduce  |f  gal.  to  integers. 

23.  Reduce  -J-jj-  §  to  integers. 

24.  Reduce  ^  T.  to  integers. 

25.  Reduce  ^^  mi.  to  integers. 

26.  Reduce  y^  of  a  degree  to  integers. 

27.  Reduce  y^-y  sq.   mi.  to  integers. 

28.  Reduce  i  chain  to  integers. 

29.  Reduce  ff  C.  to  integers. 

30.  Reduce  ^  O.  to  integers. 

31.  Reduce  |4  da.  to  integers. 

R.  T.  E.-6.* 


82  RAY'S  NEW  TEST  EXAMPLES. 

ARTICLE  126. — Reduction  to  Higher  Denominations. 

1.  Eeduce  f  min.  to  the  fraction  of  a  day. 

2.  Eeduce  ^  cu.  ft.  to  the  fraction  of  a  cord. 

3.  Eeduce  -|  sq.  in.  to  the  fraction  of  a  sq.  yd. 

4.  Eeduce  f|-  oz.  to  the  fraction  of  a  cwt. 

5.  Eeduce  ^-|  pt.  to  the  fraction  of  a  gal. 

6.  Eeduce  &£-  pt.  to  the  fraction  of  a  bti. 

7.  Eeduce  ^V  Sr-  to  the  fraction  of  an  oz. 

8.  Eeduce  -2T4^3-  cu.  in.  to  the  fraction  of  a  cu.  yd. 

9.  Eeduce  |£  J)  to  the  fraction  of  a  pound. 

10.  Eeduce  -2^  yd.  to  the  fraction  of  a  mile. 

11.  Eeduce  |^|  sq.  yd.  to  the  fraction  of  a  sq.  mi. 
12-  Eeduce  ±-|i  hr.  to  the  fraction  of  a  year. 

13.  Eeduce  f  f  Ib.  to  the  fraction  of  a  ton. 

14.  Eeduce  ±£-  in.  to  the  fraction  of  a  chain. 

15.  Eeduce  -^  gi.  to  the  fraction  of  a  gal. 

16.  Eeduce  y1^  qt.  to  the  fraction  of  a  bu. 

ARTICLE  127. 

1.  What  part  of  1  mi.  10  rd.  is  88  rd.? 

2.  What  part  of  2  bu.  1  qt.  is  1  bu.  2  qt.  ? 

3.  What  part  of  9  C.  is  16  cu.  yd.? 

4.  What  part  of  39  Ib.  is  7  Ib.  8  oz.? 

5.  What  part  of  1  wk.  5  da.  is  1  da.  8  hr. 

6.  3  A.  6  sq.  yd.  is  what  part  of  9  A.? 

7.  17  bu.  3  pk.  4  qt.  is  what  part  of  65  bu.? 

8.  3  3  1  9  is  what  part  of  5  g  2  9  ? 

9.  8  yd.   1  ft.  is  what  part  of  5  rd.  1  yd.  ? 

10.  2°  37'  30"  is  what  part  of  8°  45'? 

11.  What  part  is  5  gal.  1  gi.  of  10  gal.? 

12.  What  part  is  3  doz.  and  6,  of  a  gross? 

13.  What  part  is  12  Ib.  8  oz.  of  2  T.  5  cwt.? 


FRACTIONS.  83 


ARTICLE  128. 


1.  -ff  sq.  yd. — f  sq.  ft.=  ? 

2.  *  c.  -f  4  cu<  yd.  ~  ? 

3.  £0_f'=?      ' 


? 


5.  3  T._  4  cwt.—? 

6.  f  Cong.  +  f  0.=? 

7.  f  mi.— |  rd.  =? 

4.  ^  Ib. — ^  oz.  +  |  pwt.=  ?         8.  f  chain  —  J  pace  =  ? 
9.  |  wk.  + 1  da. +  |  hr.  =? 

10.  I  bu.  +  |  pk.+|  qt.  +  |  pt.  =  ? 

1 1.  -|  gal.  +  f  qt.  +  f  pt.  -j-  f  gi-  =  ? 

12.  TV  T.  +  ^  cwt.  4  ||  Ib.  =? 

13.  -jSj.  mi.  +  ^  rd.  +  J  yd.  +  J  ft.  =? 

15.  |f  C.  -f-  -J-J  cu.  yd.  -f-  |f  cu.  ft.  =  ? 

ARTICLE  129. — Promiscuous  Examples. 


1.  From  8£  take 

2.  Eeduce  -£%  sq.  mi.  to  integers. 

3.  Add  3J  to  the  difference  between  4^  and  6£. 

4.  From  7|  X  6f  take  6f  X  5f 

5.  Reduce  |  to  a  fraction  whose  denominator  is  126. 

6.  Reduce  yVrVg  to  its  lowest  terms. 

7.  Reduce  f^$  to  twentieths. 

8.  Find  a  number  which  multiplied  by  8J  gives  60. 

9.  What  number  divided  by  4^  gives  4^? 

10.  From  |-f--|  take  f -f-f 

11.  Reduce  T7T  to  a  fraction  whose  numerator  is  77. 

12.  What  part  of  $5  is  4  of  5  cents? 

13.  Reduce  yy^TT  ^  ^°  ^ne  fraction  of  a  pound. 

14.  $4J  will  buy  1|  yd.  of  cloth  ;    how   much   will    If 
yd.  cost? 

15.  Bought  3750  Ib.  of  iron,  at  $3.50  per  cwt.;  what  is 
the  amount  of  the  bill  ? 


84  RAY'S  NEW  TEST  EXAMPLES. 

16.  A  boy  works  3  days  at  the  rate  of   $5f  a  week; 
how  much  does  he  earn? 

17.  I  have  55  A.  of  land,  worth  $17^  an  acre;  B  wishes 
to  trade  me  7  hogs,  worth  $7-|-  each  ;    what  part  of   my 
land  should  be  given  for  them  ? 

18.  Bought  32 £  T.  of  iron  for  $1218.75;    at  that  rate, 
what  quantity  can  I  buy  for  $1000? 

19.  A  man  lost  $13J,  and  borrowed  $57f;  he  then  had 
$106^;  what  sum  had  he  at  first? 

20.  What  number  is  as  much  greater  than  15  J  as  15J 
is  greater  than  7T^-? 

21.  A  farmer  raised  208  bu.  1  pk.  of  wheat,  and  sold 
119  bu. ;  what  part  of  his  crop  has  he  remaining? 

22.  A   lady  bought  35^  yd.   carpet  for   $47;    had  she 
bought  6  yd.  more,  what  would  the  bill  have  been? 

23.  A  farm  is  worth  $5500,  and  A  owns  -f^  of  it ;  what 
part  of  his  share  should  A  sell  for  $825? 

24.  How  much  would  a  family  consume  in  August,  at 
the  rate  of  8  Ib.  5  oz.  daily? 

25.  f  of  a  certain  number  is  389^;  what  is  the  number? 

26.  Multiply  4f  X  8|  by  2^  X  3f . 

27.  A  farmer  sold  T4T  of  his  flock  of  geese,  and  has  14 
dozen  remaining;   how  many  geese  had  he  at  first? 

23.  Reduce  12.  ill,   -11  and  _Zl  to  a  common  denom- 

8|'  12f'  12fi          llf 
inator. 

29.  Hats  cost   $31   apiece,  but  late  in  the  season   are 
sold  at  |-  of  the  cost;  how  many  can  I  then  buy  for  $48? 

30.  Sold  a  house  for  $2373,  which  was  -J  of  the  cost ; 
how  much  did  I  lose? 

31.  A  lawyer  collected  $18.80,  and  kept  f  of  it ;    how 
much  did  he  pay  over? 

32.  What   number  is  that,  to  which,  if  you  add  |  of 
itself,  the  sum  will  be 


FRACTIONS.  85 

33.  Find  the  value  of  a  lot  88  ft.  long  and  49J  ft.  wide, 
at  $700  per  acre. 

34.  f  of  a  farm  are  worth  $3157^r;    what  are  f  of  it 
worth  ? 

35.  53^  yards  of  cloth  cost  me  $88;    what  will  I  lose 
by  selling  8|  yd.  for  $10? 

36.  Three  men  found  a  sum  of  money,  of  which  the 
first  took  £,  and  the  second  -|,  leaving  the  third   man 
$69.44;  what  was  the  sum  found? 

37.  A  expended  $347  for  land,  at  $-f  an  acre ;  and  B, 
$4243   for   land,  at  $5J  an  acre ;    how  many  acres  have 
both  together? 

38.  What  was  the  cost  of  47  head  of  cattle,  if  $47  was 
lost  by  selling  13  head  for  $26^  apiece? 

39.  From  a  lot  100  rd.  long  and  72 J  rd.  wide,  was  sold 
a  lot  45  rd.   long  and   29  rd.   wide;    what  part  of  the 
whole  lot  was  sold? 

40.  A  owns  405  A.  39  sq.  rd.,  and  B  owns  391  A.  109 
sq.   rd. ;    how  much   land  must   A   sell   B,  so  that  their 
farms  may  be  of  equal  size? 

ARTICLE  130. — Practice. 

Find  the  cost  of  : 

1.  450  Ib.  butter,  at  25  ct.  a  pound. 

2.  784  yd.  muslin,  at  6J  ct.  a  yard. 

3.  462  gal.  vinegar,  at  16  f  ct.  a  gallon. 

4.  673  yd.  delaine,  at  62£  ct,  a  yard. 

5.  96  gal.  wine,  at  $1.87-|  ct.  a  gallon. 

6.  5726  Ib.  whiting,  at  1^  ct.  a  pound. 

7.  538  bu.  wheat,  at  $1.12^  a  bushel. 

8.  788  yd.  cloth,  at  $1.62£  a  yard. 

9.  375  Ib.  cheese,  at  8^  ct.  a  pound. 
10.  424  A.  land,  at  $3.18f  an  acre. 


86  BAY'S  NEW  TEST  EXAMPLES. 

11.  398  bu.  barley,  at  75  ct.  a  bushel. 

12.  666  Ib.  feathers,  at  33£  ct.  a  pound. 

13.  78  C.  wood,  at  $4.75  a  cord. 

14.  3786  Ib.  twine,  at  16|  ct.  a  pound. 

15.  5  gal.  3  qt,  of  brandy,  at  $2.50  a  gallon. 

16.  17  yd.  2  ft.  of  paving,  at  $2.40  a  yard. 

17.  69  bu.  3  pk.  of  potatoes,  at  68  ct.  a  bushel. 

18.  4  Ib.  11  oz.  of  honey,  at  36  ct.  a  pound. 

19.  3  hr.  45  min.  work,  at  40  ct.  an  hour. 

20.  7  oz.  7  pwt.  of  silver,  at  88  ct.  an  ounce. 

21.  3  bu.  3  pk.  of  clover  seed,  at  $3.60  a  bushel. 

22.  49  sq.  yd.  6  sq.  ft.  of  plastering,  at  27  ct.  a  square 
yard. 

23.  3  g  2  %  1   9  of  quinine,  at  $3.60  an  ounce. 

24.  4  bu.  2  pk.  5  qt.  of  berries,  at  $3.20  a  bushel. 

25.  15  gal.  3  qt.  1  pt.  1  gi.  of  wine,  at  $1.92  a  gallon. 

26.  5  C.  96  cu.  ft.  of  wood,  at  $4.40  a  cord. 

27.  How  many  bushels  of  oats,  at  37 J  ct.  a  bu.,  can  be 
bought  for  $7.87£? 

28.  How  much  cloth,  at  $2.12^  a  yard,  can  be  bought 
for  $90.31J? 

29.  What  cost  18  Ib.  12  oz.  of  coffee,  at  331  ct.  a  Ib.? 

30.  Find  the  cost  of  500  screws,  at  36  ct.  a  gross. 

31.  Find  the  cost  of  18  bu.  2  pk.  of  apples,  at  $.66|  a 
bushel. 

32.  What  cost  40  rubbers,  at  40  cents  a  dozen? 

33.  At  $3.37^  an  acre,  how  many  acres  of  ground  can 
be  bought  for  $281.25? 

34.  What  cost  5  bu.  2  pk.  of  strawberries,  at  33^  ct.  a 
quart? 

35.  A  week's  work  is  6  da.,  of  10  hr.  each;  how  much 
can  a  man  earn  in  4  da.  6  hr.,  if  his  weekly  wages  are 
$10.50? 

36.  Find  the  cost  of  11  T.  940  Ib.  of  hay,  at  $12  a  ton. 


DECIMAL  FRACTIONS.  87 

DECIMAL    FRACTIONS. 

ARTICLE  135. —  Writing  Decimals. 

Write  the  following  Decimal  Numbers  : 

1.  803  thousandths. 

2.  Fifty-one  thousandths. 

3.  Nine  thousandths. 

4.  Forty-six  ten-thousandths. 

5.  Two  hundred  and  one  ten-thousandths. 

6.  7735  hundred  thousandths. 

7.  86  hundred-thousandths. 

8.  3  hundred-thousandths. 

9.  Nine  hundred  and  nineteen  thousandths. 

10.  Nine  thousand  and  twenty  ten-thousandths. 

11.  Ten  thousand  and  one  hundred-thousandths. 

12.  Five  thousand  and  sixty-seven  ten-thousandths. 

13.  381257  millionths. 

14.  40703  millionths. 

15.  2008  millionths. 

16.  88  millionths. 

17.  7  millionths. 

18.  Forty  seven  thousand  and  eighteen  millionths. 

19.  Five  hundred  and  fifty-five  millionths. 

20.  Three  hundred  thousand  and  eight  millionths. 

21.  Sixty-seven  millionths. 

22.  Fifty-seven  tenths. 

23.  2406391  ten -millionths. 

24.  65400  ten-millionths. 

25.  49  ten-millionths. 

26.  880004  ten-millionths. 

27.  6  ten-millionths. 

28.  31000722  ten-millionths. 

29.  Four  hundred  and  eighty  hundredths. 


88  RAY'S  NEW  TEST  EXAMPLES. 

i 

30.  14  units  and  5  hundredths. 

31.  3  units  and  17  thousandths. 

32.  3000  units  and  4  thousandths. 

33.  3004  thousandths. 

34.  8354  hundredths. 

35.  One  wmY  and  one  millionth. 

36.  One  million  wmYs  and  one  millionth. 

37.  Three  hundred  millionths. 

38.  Seven  hundred  units  and  seven  hundredths. 

39.  19  bilUonths. 

40.  39704  ten-billionths. 

41.  800004  hundred-millionths. 

42.  Eight  thousand  and  five  tenths. 

43.  Eight  thousand  wwYs  and  five  ten-thousandths. 

44.  379000  M/uYs  and  379  thousandths. 

45.  Fifty  thousand  and  one  hundred  bilUonths. 

^"'    TTT>    T0TF>    TlFlnF'    TTFTT'    TTOTRr 

47-  T8A>  Tr(Hro>  TTTOTI>  T"ofiTrTr?  fir- 
48.  5^,  16r^,  200^,  30^-30^. 

ARTICLE  136. — Reading  Decimals. 

Head  the  following  Decimal  Numbers  : 

1.  4.18;    6.008;    .0006;    36.036;    3.4075. 

2.  .702;    .078;    .02005;    50.09;    .0006. 

3.  .00066;    .30066;    .00456;    .000036. 

4.  .01  ;    .016  ;    .0162  ;    .01624. 

5.  4736.2  ;    3.8914  ;    .356  ;    283.67. 

6.  2000.20002  ;    304.0506  ;    7.24006. 

7.  .3703  ;    3.703  ;    37.03  ;    370.3. 

8.  4.4;    4.04;    4.004;    4.0004. 

9.  .056  ;    30.07  ;    .00009  ;    .010203. 

10.  45.0009  ;    .005009  ;    60.016. 

11.  37.03;    4638.9;    364.005. 


DECIMAL  FRACTIONS. 


89 


12.  .0102;    .001002;    .00010002. 

13.  5.806  ;    50.4903  ;    6.8938. 

14.  3700.0004;    .3704;   3000.0704. 
Change  the  following  to  Common  Fractions  : 

15.  .64;    .165;    .0375;    .9375. 

16.  .024;   .00008;    .0000088. 

17.  .875;    .4375;    .15625. 

18.  .1024;    .83875;    .873642. 

ARTICLE  141. — Reduction  of  Decimals.     Case  III. 
Reduce    the  following    to    Common    Fractions    or    Mixed 


Numbers  : 

1.  .875. 

9.  .975. 

17.  300.25. 

2.  .64. 

10.  .0084. 

18.  46.875. 

3    .512. 

11.  .1875. 

19.  13.92. 

4.  .625. 

12.  .46875. 

20.  20.02. 

5.  .025. 

13.  4.045. 

21.  .6875. 

6.  .256. 

14.  26.18. 

22.  14.01875. 

7.  .0025. 

15.  .0125. 

23.  9.008. 

8.  .2224. 

16.  19.625. 

24.  .34375. 

ARTICLE  142. — Reduction  of  Decimals.     Case  IV. 


Reduce  the  following  to  Decimals : 


i.  f. 

2.  A- 

3-  A- 
*•  tt- 

Mi 
e.  if 

7-  if 

8-  if 


T61F- 


«•**• 
10. 

11- 

12-  dfr 

13-  Tfrr. 

i*.  m> 


16. 


17-  IS- 

18.  ft- 

19.  |f. 

20.  n- 

21.  If. 

22.  |f. 

23.  ^ 

a*- 


90  RAY'S  NEW  TEST  EXAMPLES. 


ARTICLE  143. — Addition  of  Decimals. 

1.  Add  3.12;    41.3;    68.94;   39.77. 

2.  18  and  54  hundredths  -j-  19  and  5  tenths  +  53  and 
73    hundredths  -f-  37    and    56    hundredths  +  16    and    9 
tenths  =? 

3.  5  and  17  thousandths  +  73  and   29   hundredths  + 
128  and  3  tenths  +  94  and  983  thousandths  -f-  26  and  71 
hundredths  +  271  and  7  tenths  =  ? 

4.  Add   413   thousandths ;    413   ten-thousandths ;    413 
hundred-thousandths,  and  413  millionths. 

5.  25.7  +  6.009  +  .4309  -f  509.7  +  38.08  +  8.983  + 
73.38  =  ? 

6.  Add   46   and   89    thousandths;    60    and    894    thou- 
sandths; 8  and  946  thousandths;  9  and  468  thousandths; 
89  and  46  thousandths ;  460  and  89  thousandths,  and  20. 

7.  Add  400.009;    40.09;  4.0009;  40.9;  400.09;   4.009; 
100;  and  .002. 

8.  738.84  +  388.47  +  884.73  +  847.38  +  473.88+59.99+ 
59.099  +  99.59  =  ? 

9.  Add    17.38;    18.37;    19.36;    20.35;    21.34;    22.33; 
23.32  ;  24.31  and  25.3. 

10.  Write  395.4276  seven  times  and  add. 

11.  Write  234.056  eight  times  and  add. 

12.  Add  893  thousandths;  753  hundredths;  49  tenths; 
3739  thousandths;   5  hundredths;    55  hundredths;   5500, 
and  127  thousandths. 

13.  46.8  +  48.6  +  68.4  +  64.8  +  84.6  +  86.4  +  44.4  + 
66.6  +  88.8  =  ? 

14.  Add    74    and    8    ten-thousandths;   36   and    5-thou- 
sandths;   637  and   4   ten-millionths;   29  and  8  tenths;    3 
and  8914  hundred-thousandths;    55  and   93  hundredths; 
84  millionths,  and  637  and  27306  ten-millionths. 


DECIMAL  FKACTIONS.  91 


ARTICLE  144. — Subtraction  of  Decimals.    . 

1.  From  47.378  take  19.89. 

2.  From  60.06  take  50.89. 

3.  From  48.937  take  13.0609. 

4.  From  300  take  46.875. 

5.  From  345.6789  take  88.88. 

6.  Take  8.76  from  234.372. 

7.  Take  23.9564  from  32.404. 

8.  Take  22.222  from  111.11. 

9.  Take  6.0008  from  22.93004. 

Find  the  difference  between  the  following: 

10.  39.81  and  20.985. 

11.  100.001  and  50.09. 

12.  324.137  and  199.9994. 

13.  64  thousandths  and  64  hundredths. 

14.  From  147  and  39602  hundred-thousandths  take  58 
and  545986  millionths. 

15.  Take  73421  and   397   ten-thousandths  from  124316 
and  397  thousandths. 


ARTICLE  147. — Multiplication  of  Decimals. 
Multiply  : 


1.  .643  by  .89. 

2.  3  56  by  62.5. 

3.  7.875  by  94. 

4.  .125  by  .126. 

5.  48.76  by  48.75. 

6.  .03  by  .02. 

7.  .744  by  .125. 

8.  .0375  by  .036. 


9.  9.9  X  -098. 

10.  666.  X  5-55. 

1 1.  .048  X  .04375. 

12.  .9375  x  2400. 

13.  7.39  X  .0043. 

14.  .2502  X  ^848. 

15.  42.075  X  %• 

16.  3.956  X  4^ljL 


92  RAY'S  NEW  TEST  EXAMPLES. 

17.  Multiply  48   units  and   75   hundredths  by  6  units 
and  32^  thousandths. 

18.  Multiply  893  thousandths  by  893  ten-thousandths. 

19.  Multiply  38400  by  19  units  and  28  thousandths. 

20.  Multiply  27  thousand  by  27  thousandths. 

21.  Multiply  78  and  125  thousandths  by  1024. 

22.  Multiply  67  thousand  2  hundred  by  67  and  2  hun- 
dredths. 

23.  Multiply   7936    ten-thousandths    by    390    and    625 
thousandths. 

24.  Multiply  6.625  by  14.32. 


ARTICLE  150.— Division  of  Decimals. 


Divide  : 


1.  5.845  by  3.5. 

2.  9.4125  by  1.25. 

3.  .7614  by  .36. 

4.  2.875  by  1.15. 

5.  4.752  by  198. 

6.  .897  by  .06. 

7.  .897  by  260. 

8.  .7375  by  .059. 


9.  1287.7651  by  3.217. 

10.  160  by  .04. 

11.  6.5667  by  31.27. 

12.  17429.1  by  .4251. 

13.  3.1  by  3.2. 

14.  .004  by  160. 

15.  8.91  by  1.98. 

16.  1  bv  16. 


17.  Divide  37  units  and  37  thousandths  by  4  units  and 
4  thousandths. 

18.  Divide  12  units  and  12  hundredths  by  16  units  and 
16  hundredths. 

19.  Divide  1  hundred  by  1  hundredth. 

20.  Divide  208  millionths  by  65  hundred-thousandths. 

21.  Divide  8.76  by  132. 

22.  Divide  .9  by  2.99. 

23.  Divide  .001  by  150. 

24.  Divide  27.5  by  .28. 


DECIMAL  FKACTIONS. 


93 


DECIMAL  COMPOUND  NUMBERS. 
ARTICLE  151. — Reduction  to  Lower  Denomination. 

1.  Reduce  .0125  bu.  to  the  decimal  of  a  pint. 

2.  Reduce  .0273  gal.  to  the  decimal  of  a  pint.         • 

3.  Reduce  .00043  T.  to  the  decimal  of  a  pound. 

4.  Reduce  .0275  yd.  to  the  decimal  of  an  inch. 

5.  Reduce  .0000075  sq.  mi.  to  the  decimal  of  a  sq.  rd. 

6.  Reduce  .0000025  cu.  yd.  to  the  decimal  of  a  cu.  in. 

7.  Reduce  .00001125  da.  to  the  decimal  of  a  second. 

8.  Reduce  .00375  C.  to  the  decimal  of  a  cu.  ft. 

9.  Reduce  .000575  sq.  yd.  to  the  decimal  of  a  sq.  in. 


ARTICLE  152. — Reduction  of  Decimals  to  Integers. 
Find  the  value  of  the  following,  in  Integers  : 


1.  .4375  bu. 

2.  .4375  gal. 

3.  .15625  T. 

4.  .15625  mi. 


5.  .390625  sq.  mi. 

6.  .7  C. 

7.  .38  yr. 

8.  .047  of  a  circle. 


ARTICLE  153. — Reduction  to  Higher  Denominations. 

1.  Reduce  .352  pt.  to  the  decimal  of  a  bushel. 

2.  Reduce  .48  gi.  to  the  decimal  of  a  gallon. 

3.  Reduce  .648  sq.  in.  to  the  decimal  of  a  sq.  yd. 

4.  Reduce  .5832  cu.  in.  to   the  decimal  of  a  cu.  yd. 

5.  Reduce  .472  qt.  to  the  decimal  of  a  bushel. 

6.  Reduce  .486  min.  to  the  decimal  of  a  day. 

7.  Reduce  .4096  oz.  to  the  decimal  of  a  cwt. 

8.  Reduce  .39  pt.  to  the  decimal  of  a  gallon. 

9.  Reduce  .1296  sec.  to  the  decimal  of  a  day. 
10.  Reduce  .015  pt.  to  the  decimal  of  a  bushel. 


94  KAY'S  NEW  TEST  EXAMPLES. 

11.  Reduce  .13824  cu.  in.  to  the  decimal  of  a  cord. 

12.  Eeduce  .17532  hr.  to  the  decimal  of  a  year. 

13.  Eeduce  .792  in.  to  the  decimal  of  a  mile. 

14.  Eeduce  7.68  oz.  to  the  decimal  of  a  ton. 

15.  Eeduce  .17424  sq.  in.  to  the  decimal  of  an  acre. 

• 

ARTICLE  154. — Promiscuous  Examples. 

1.  Find  the  value  of  .05  da.  in  integers. 

2.  If  3.7  yards  cost  $10.36,  what  will  5.8  yards  cost? 

3.  If  3.5  acres  of  land  cost  $430.43,  how  many  acres 
could  be  bought  for  $614.90? 

4.  Find  the  cost  of  4  bu.  3  pk.  of  oats,  at  46  cents  a 
bushel. 

5.  A  man  sold  55  gal.  1  pt.  of  wine,  at  $1.80  a  gallon, 
and  was  paid  in  tea  at  84  ct.  a  pound;  how  many  pounds 
did  he  receive? 

6.  A  field  40  rods  wide  contains  10  A.  80  sq.  rd.;  how 
long  is  it? 

7.  How  much   wood,  at  $2.90  a  cord,  can  be  bought 
for  $105.125? 

8.  .4  mi.  +  .3  rd.  -f  .7  yd.  ==? 

9.  Find  the  value  of  .7475  T.  in  integers. 

10.  How   much    vinegar,   at    24    ct.   a    gallon,   can    be 
bought  for  $7.77? 

11.  What  cost  1000  cu.  yd.  of  embankment,  at  the  rate 
of  $0.37  per  cu.  ft.? 

12.  Find  the  value  of   .234375  bu.  in  integers. 

13.  What  cost  7227  feet  of  wire  fence,  at  14  ct.  a  rod? 

14.  A  locomotive  runs  17  mi.  32  rd.  in  an  hour  ;  how 
far  will  it  run  in  13  hr.  39  min.? 

15.  .1  yr.  +  .2  wk.  +  .3  da,  +  .4  hr.  ==  ? 

16.  Eeduce  4  of  _U£  to  a  decimal. 

16 

17.  1.4  bu.  —  3.7  pk.=? 


THE  METRIC  SYSTEM.  95 

18.  How  much  land,  at  $500   an   acre,   can   be  bought 
for  $131.25? 

19.  .03  T.  +  .73  cwt.  +  .75  lb.=? 

20.  Find  the  cost  of  7  Ib.  7  oz.  of  silverware,  at  $1.20 
an  ounce. 

21.  How  much  cloth,  at  $1.44  a  yd.,  must  be  given  for 
6  bu.  6  qt.  of  strawberries,  worth  $4.80  a  bushel? 

22.  At    12^   ct.    a  pound,   how    much    cheese    can    be 
bought  for  $19.81£? 

23.  What  cost  4350  Ib.  iron,  at  $2.80  a  hundred  pounds? 

24.  What  cost  8764  pickles,  at  75  ct.  a  hundred  ? 

25.  What  cost  108  screws,  at  $1.08  per  gross? 

26.  Find  the  value  of  .77  yr.  in  integers. 

27.  A  locomotive  runs  16  mi.  256  rd.  per  hour;    how 
long  will  it  be  in  running  154  mi.  280  rd.  ? 

28.  A  man  can  earn  18|  ct.  per  hour,  and  a  boy  12^ 
ct.  ;    how  much  will  the  man  earn  while  the  boy  earns 


29.  Grading  a  road  cost  $10312.50,  at  62  ct.  5  m.  per 
foot;  how  long  is  the  road? 

30.  Find  the  value  of  a  lot  70  rods  square,  at  $20  an 
acre. 


Reduce  : 


THE    METRIC    SYSTEM. 
ARTICLE  156. — Measures  of  Length. 


1.  394.5  Hm.  to  dm. 

2.  93.64  m.  to  kilometers. 

3.  1234.56    Dm.   to   Mm. 

4.  987.65  Km.  to  Dm. 

5.  .34  m.  to  myriameters. 

6.  74.6  Dm.  to  cm. 

7.  83.7  Hm.  to  Mm. 


8.  .37  Mm.  to  meters. 

9.  4600  Km.  to  dm. 

10.  58000  cm.  to  Hm. 

11.  374.5  Mm.  to  cm. 

12.  67.25  Dm.  to  Km. 

13.  8936.4  cm.  to  Dm. 

14.  .456  Km.  to  Hm. 


RAY'S  NEW  TEST  EXAMPLES. 


ARTICLE  157. — Metric  Square  Measure. 


Reduce  : 

1.  374680  ni2  to  hektars. 

2.  493.2  A.  to  centars. 

3.  387.43  ca.  to  ars. 

4.  387.43  m2  to  ars. 

5.  43.875  A.  to  m2. 


6.  .457  ca.  to  hektars. 

7.  8973.4  m2  to  hektars. 

8.  5839  A.  to  m2. 

9.  3843  ca.  to  hektars. 
10.  3970  A.  to  centars. 


ARTICLE  158. — Measures 
Reduce  : 

1.  4800  cl.  to  liters.  10. 

2.  39.5  Dl.  to  centiliters.  11. 

3.  493.7  dl.  to  HI.  12. 

4.  58.39  HI.  to  centiliters.  13. 

5.  .457  Dl.  to  liters.  14. 

6.  6.789  1.  to  centiliters.  15. 

7.  34.692  HI.  to  Dl.  16. 

8.  42.789  dl.  to  liters.  17. 

9.  325.84  1.  to  hektoliters.  18. 


of  Capacity. 

4.7  dl.  to  dekaliters. 
3800  HI.  to  deciliters. 
29.7  1.  to  dekaliters. 
468.3  cl.  to  hektoliters. 
38700  Dl.  to  deciliters. 
49  m3  to  liters. 
37282  cL  to  m3.  ' 
678  1.  to  cubic  meters. 
.0303  m3  to  deciliters. 


ARTICLE  159. 
Reduce: 

1.  6.5  Mg.  to  M.  T. 

2.  489.31  Dg.  to  mg. 

3.  .04653  Q.  to  Dg. 

4.  654.3  Hg.  to  quintals. 

5.  87  M.  T.  to  kilograms. 

6.  .937  mg.  to  grams. 

7.  123.456  Hg.  to  dg. 

8.  873.4  dg.  to  Dg. 

9.  88.736  Mg.  to  eg. 

10.  .0086  g.  to  quintals 

11.  .0765  Kg.  to  M.  T. 


— Metric  Weights. 


12.  3945  eg.  to  Hg. 

13.  3.894  M.  T.  to  grams. 

14.  87300  Kg.  to  mg. 

15.  89900  Dg.  to  Mg. 

16.  .00489  Q.  to  dg. 

17.  4000  G.  to  Mg. 

18.  12000000  mg.  to  K#. 

19.  9876541  dg.  to  quintals. 

20.  34.56  Kg.  to  grams. 

21.  48004800  eg.  to  Hg. 

22.  .09083  M.  T.  to  mg. 


THE  METRIC  SYSTEM. 


97 


ARTICLE  160. 


Find  the  value  of: 

1.  40  meters. 

2.  50  hektars. 

3.  375  kilograms. 

4.  .6375  kilometers. 

5.  13  tonneaux. 
Reduce : 

11.  45  hektoliters  to  bu. 

12.  100  inches  to  meters. 

13.  100  mi.  to  kilometers. 

14.  100  sq.  yd.  to  m2. 

15.  100  acres  to  hektars. 

16.  100  cu.  yd.  to  m3. 

17.  48  sq.  rd.  to  ars. 

18.  18  T.  to  metric  tons. 


6.  93.75  sters. 

7.  875  grams. 

8.  500  cubic  meters. 

9.  625  square  meters. 
10.  37.5  ars. 

19.  454  bu.  to  hektoliters. 

20.  66  gal.  to  liters. 

21.  1   Ib.   4oz.    1    pwt.   12 

gr.  to  grams. 

22.  3000  sq.  ft.  to  m2. 

23.  56  bu.  3  pk.  to  HI. 
21  2  Ib  8  3  1  3  12  gr.  to 

the  metric  system. 


ARTICLE  161. — Miscellaneous  Examples. 

1.  What  cost  475  kilos  of  iron,  at  4  ct.  a  pound? 

2.  What  cost  6  hektometers  of  fence,  at  15  ct.  a  foot? 

3.  What  cost  40  sters  of  wood,  at  $6.25  per  cord  ? 

4.  What  cost  327  cubic  meters  of  stone-work,  at  $5.30 
per  cubic  yard  ? 

5.  Find  the  weight  of  a  stone  4  m.  long,  4  dm.  wide, 
and  8  cm.  thick,  if  a  cubic  meter  weighs  3  cwt. 

6.  What  cost  a  field  300  meters  square,  at  $30  per  ar? 

7.  What  cost  a  pile  of  wood  8  m.  long,  3  m.  wide,  and 
1.5  m.  high,  at  $1.30  per  ster  ? 

8.  What  must  be  paid  for  17  quintals  of  wheat,   at 
5  ct.  per  kilo? 

9.  A  field  is  52  yd.  wide  and  92  yd.  long;  what  is  it 
worth,  at  $.35  per  square  meter? 

R.  T.  E.— 7. 


98 


RAY'S  NEW  TEST  EXAMPLES. 


10.  A  pile  of  stone  is  109  ft.  long,  36  ft.  wide,  and  9 
ft.  high;  what  is  it  worth  at  $3.80  per  cubic  meter? 

11.  Find  the  cost  of  64.3  Ib.  of  gold  ore,  at  45  ct.  per 
gram. 

12.  Find    the    cost    of   a    gold    chain    weighing    1929 
grains,  at  60  ct.  a  gram. 

13.  What  would  be  the  cost  of  2  T.  15  cwt.  11  Ib.  8  oz. 
of  coal,  at  $5.60  per  metric  ton? 

14.  How  long  will  it  take  a  man  to  walk  31.0685  mi. 
if  he  can  walk  6  kilometers  in  an  hour? 


PERCENT  AG  E. 


ARTICLE  164. —  Case  I. 


Find  the  following  : 

1.  28    %  of  925. 

2.  25    %  of  624. 

3.  23    %  of  900. 

4.  13£  %  of  744. 

5.  16|  %  of  390. 

6.  37|  %  of  8.8. 

7.     2£  %  of  290. 

JFAa*  w  : 

15.     22%  of  1800  bu. 

corn? 

16.    85%   of  7  da,? 

17.     TV%  of  $480? 

18.  500%  of  71  A.? 

19.    53%  of  3  T.? 

20.     20%  of  19  gal 

1  qt. 

1  pt.? 

8.  A    %  of  70. 

9.  14f  %  of  1393. 

10.  56    %  of  750. 

11.  5.6   %  of  750. 

12.  \      %  of  467. 

13.  800  %  of  800. 

14.  900  %  of 


21. 


3     bu.     2 


100%     of 
pk.? 

22.  66  §  %  of  87  gal.? 

23.  \%  of  |? 

24.  2|%  of  2^? 

25.  16f%  of  16  2? 

26.  77%  of  187.05? 


PERCENTAGE.  99 


ARTICLE  165. — Case  II. 

1.  What  per-  cent  of  275  is  33? 

2.  What  per  cent  of    48  is  36? 

3.  What  per  cent  of    60  is  10.2? 

4.  What  per  cent  of  800  is  600? 

5.  What  per  cent  of  666  is  499.5? 

6.  What  per  cent  of  350  is  56  ? 

7.  What  per  cent  of  75  bu.  is  33  bu.  ? 

8.  What  per  cent  of  48  is  96? 

9.  What  per  cent  of  56  is  560  ? 

10.  172i  is  what  per  cent  of  230? 

11.  187.5  is  what  per  cent  of  150? 

12.  .5  is  what  per  cent  of  250? 

13.  4  is  what  per  cent  of  17|? 

14.  2.3  is  what  per  cent  of  18f  ? 

15.  .014  is  what  per  cent  of  70? 

16.  29£  is  wnat  per  cent  of  80? 

17.  1  bu.  2  pk.  is  what  per  cent  of  3  bu.  3  pk.  ? 

18.  6  gal.  3  qt.  is  what  per  cent  of  4  gal.  2  qt.  ? 

19.  What  per  cent  of  ^  is  ££? 

20.  What  per  cent  of  1  wk.  is  4  da.  4  hr.  48  min.? 

ARTICLE  166. — Case  III. 

1.  4.2  is       6%  of   what  number? 

2.  153  is     68%   of    what  number? 

3.  315  is       \<fa  of   what  number? 

4.  6  is     31%   of   what  number? 

5.  14|  is     41%   of   what  number? 

6.  7f  is  150%   of  what  number? 

7.  43^  is  11^-%  of  what  number? 

8.  35  is  46f%  of  what  number? 


100  KAY'S  NEW  TEST  EXAMPLES. 

9'     H  is  2^%   of  what  number? 

10.  175  is  1000%   of  what  number? 

11.  45f  is  18|^   of  what  number? 

12.  3  bu.  3  pk.  is  24%  of  what  quantity? 

13.  5  da.  5  hr.  is  150%  of  what  quantity? 

14.  18  gal.  is  96^  of  what  quantity? 

15.  18  T.  9  cwt.  is  22i%  of  what  quantity? 

16.  9  A.  40  sq.  rd.  is  40^  of  what  quantity? 

ARTICLE  167. — Case  IV. 

1.  What  number,  increased   by   30%   of  itself,  equals 
1690? 

2.  What  number,  diminished  by  80%  of  itself,  would 
give  80? 

3.  777  is  40%  greater  than  what  number? 

4.  777  is  40%  less  than  what  number? 
6.  60  is  60%  less  than  what  number? 

6.  60  is  60%  more  than  what  number? 

7.  What  fraction,  less  23^%  of  itself,  would  equal  |f  ? 

8.  What  number  -f  26^   of  itself,  would  equal  2(x|? 

9.  What  number,  increased  by  135^  of  itself,  would 
give  15|? 

10.  What  number,  diminished  by  99-1^  of  itself,  would 
leave  350? 

11.  What  number,   increased   by   |%    of  itself,   would 
give  56? 

12.  Find   a   number   which,  added   to   18|%    of  itself, 
will  give  36.1. 

ARTICLE  169. — Miscellaneous  Examples. 

1.  Sold  a  house  for  $1805,  which  was   5%    less  than 
the  cost ;  find  the  cost. 

2.  In  a  grade  of  560  pupils,  532   passed  at  examina- 
tion; what  %  of  the  grade  passed? 


PERCENTAGE.  101 

3.  A  farmer's  wife  had  20  dozen  chickens,  and    6-|% 
of  them  died  ;  how  many  died? 

4.  A  man  had  140  hogs,  which  he  sold  at  $8  apiece, 
and  spent  32^  of  the  money  for  sheep,  at  $2.80;    how 
many  sheep  did  he  buy? 

5.  Sold  a  house  for  $1840,  which  was  15%  more  than 
the  cost;  what  was  the  cost? 

6.  In  a  school    of  950   pupils,  52%  were  girls;    how 
many  boys  were  there? 

7.  After  22%  of  a  pole  had  been  broken  off  by  the 
wind,    it    was    117    feet    high;     how    high    was    it    at 
first? 

8.  A's   farm   is  30%   of  B's;    if  B  has  160  A.,  how 
many  acres  has  A? 

9.  A's  farm  is  30^   of  B's;    if  A  has   180  A.,  how 
many  acres  has  B? 

10.  A's  farm  is  30%  of  B's;   if  both  together  have  208 
acres,  how  many  has  B? 

11.  A's  farm  is  30%  of  B's;    if  B  has  280  acres  more 
than  A,  how  many  has  B? 

12.  An  engine  traversed  15%  of  a  road  in  18  hours,  at 
the  rate  of  14  mi.  128  rd.  per  hour;  what  was  the  length 
of  the  entire  road? 

13.  William   is  4   ft.    7  in.   high  ;    his  brother  is   20^ 
taller;  what  is  the  height  of  the  latter? 

14.  A  trade  dollar  weighs  420  grains,  of  which  10%   is 
alloy;  how  much  pure  silver  in  640  trade  dollars? 

15.  The  eagle   contains  258  grains,  of  which    10^    is 
alloy;   how  much  alloy  must  be  mixed  with  12.9  oz.  of 
pure  gold  for  the  coinage  of  eagles? 

16.  What  will  be  the  weight  of  the  alloy  in  $1000  of 
gold  coin? 

17.  What  weight  of  pure  gold  must  be  mixed  with  140 
oz.  Troy  of  alloy  for  coinage  of  gold  coin  ? 


102  RAY'S  NEW  TEST  EXAMPLES. 

18.  26^  of  a  farmer's  potatoes  spoiled,  and  he  still  had 
407  bushels  of  sound  ones  ;  how  many  bushels  had  he  at 
first? 

19.  A   ship's   crew  had   provision  for  18  weeks,  but   a 
storm  destroyed  25^  of  it;  how  long  would  the  remain- 
der last  them? 

20.  What  number,  less  40%  of   itself,  would  be  equal 
to  40%  of  930? 

21.  A  man  owed  $60500;  but,  being  unable  to  pay  in 
full,  settled  for  $44770  ;  what  %  of  his  debt  did  he  pay? 

22.  A  publishing  house  sold  15%  more  books  this  year 
than  last  year;  if  the  number  this  year  is  52900  dozen, 
what  was  the  number  last  year? 

23.  What  number,  increased  by  120%   of  itself,  would 
equal  803? 

24.  A  tenant  pays  his   landlord  3  pk.  out  of  every  5 
bu.  he  raises;  what  %  is  that? 

25.  34000000    letters    were    posted,    of   which    170,000 
were  sent  to  the   dead  letter  office;  what  %  was  that? 

26.  A  field  is   168   rods  long,   and   its  length  is  40% 
greater  than  its  breadth  ;  find  the  area  of  the  field. 

27.  A  field  is  168  rods  long,  and  its   breadth  is  40% 
less  than  its  length  ;  find  the  area  of  the  field. 

28.  A  field  is  168  rods  wide,  and  its  breadth  is  40% 
less  than  its  length ;  find  the  area  of  the  field. 

29.  A  farmer  raised  450  bu.  of  oats  the  first  year;  the 
second  year  his  crop  was  20%  greater  than  the  first;  and 
the  third  year,   25%    less  than   the  second;   how  many 
bushels  did  he  raise  in  the  three  years? 

30.  I  have  47  A.  40  sq.  rd.  of  beech  woods,  which  is 
27%  of  my  woodland;  how  many  acres  of  timber  have  I 
in  all? 

31.  Ore  lost  32%  in  smelting,  and  433  T.  10  cwt.  of 
blooms  were  produced  ;  how  much  ore  was  smelted? 


PERCENTAGE.  103 


ARTICLE  172. — Commission. 

1.  An   agent   sold   a   house   for   $3940,  at   2^^    com- 
mission ;  what  sum  did  he  receive? 

2.  An  agent  sold  a  farm  for  $2750,  at  \\%  commis- 
sion ;  what  sum  did  he  send  the  owner? 

3.  The  commission  on  $7500  sales  amounted  to  $125  ; 
what  was  the  %  commission? 

4.  An  agent  sold  a  stock  of  groceries  for  $77500,  and 
sent  the  owner  $75640;  what  was  his  %  commission? 

5.  A  commission  merchant  sold  goods  at  %\%   com- 
mission, and  sent  the  owner  $2281.50;  what  commission 
did  he  retain? 

6.  An  attorney  collected  a  claim  at  12 $%  commission, 
and  sent  his  principal  $934.50;  what  was  the  amount  of 
the  claim? 

7.  I  sold  goods  at  auction,  charging  the  owner  5^, 
and   sent  him   $199.69 ;    what   was  the    amount    of   the 
sale? 

8.  Received  $1300.50  to  invest  in  starch,  retaining  my 
commission  of  2%  ;  what  sum  should  I  invest? 

9.  An  agent  received  5%   commission  for  collecting  3 
years'  rent,   and   sent  the  owner  $684 ;  what  rent  was 
collected  monthly? 

10.  A  farmer  allowed  a  drover  3%  commission  for  sell- 
ing his  hogs,  by  which  the  drover  realized  $1455;  what 
sum  was  sent  the  farmer? 

11.  A  farmer  allowed  a  drover  3%  commission  for  sell- 
ing his  hogs,  by  which  the  farmer  realized  $1455  ;  what 
sum  did  the  drover  retain? 

12.  Thompson  sold  for  a  refinery  45000  gal.  molasses, 
at  62  ct.  a  gallon,  and  127000  Ib.  sugar,  at  12£  ct.  a  lb.; 
what  was  his  commission,  at  |%? 


104  RAY'S  NEW  TEST  EXAMPLES. 

13.  A  lawyer  collected  a  debt  of  $750  ;  he-  paid  $14.60 
expenses,  and  sent  the  creditor  $724.15  ;    what    %    com- 
mission did  he  charge? 

14.  Sent  A  $1025.10,  which  he  invested  in  sugar,  first 
deducting  his  commission,  at  2%  ;    sent  B  an  equal  sum, 
which   he   invested   in   flour,   retaining  \^0    commission ; 
what  was  the  difference  in  the  two  purchases? 

15.  A    commission    merchant,    whose    expenses    were 
$7125,  cleared  $2127.25  profit  in  a  year  by  selling  goods 
at  2^£   commission;    what  was  the  amount  of  his  sales? 

ARTICLE  173. — Trade  Discount. 

1.  Sold  47500  Ib.  of  iron  at  $2.75  per  cwt,,  4%  off  for 
cash  ;  what  sum  was  received  for  it? 

2.  500  cases  of   slates  were  sold;    list  price,  $36  per 
case,  with  60  and  60%  off;   what  was  realized? 

3.  Goods  were  bought  at  10  and  10%  off,  for  $688.50; 
what  was  the  list  price? 

4.  Goods   were    bought   at  40,    10    and    2%    off,    for 
$1455.30;  find  the  list  price. 

5.  Goods    were    bought    at    10,  2  and    40^    off,    for 
$1455.30  ;  find  the  list  price. 

6.  Bought   goods   at   5%    off,   and    the    discount    was 
$16.30  ;  what  was  the  amount  of  the  purchase? 

7.  Bought  goods  at  50,  10  and  2%  off,  and   the  dis- 
counts amounted   to   $167.70;    what  was  the  amount  of 
the  purchase? 

ARTICLE  174. — Profit  and  Loss. 

1.  Goods  costing  $350  were  sold  at  a  gain  of 
what  was  the  gain? 

2.  Cost  $750,  gain  \%  ;  find  the  gain. 

3.  Cost  $400,  loss  7|^  ;  find  the  selling  price. 


PERCENTAGE.  105 

4.  Cost  $625,  loss  2f  %  ;  find  the  loss. 

5.  Selling  price  $308.70,  gain  5%  ;  find  cost. 

6.  Cost  $75,  selling  price  $80.10;  find  the  %  of  gain. 

7.  Cost  $70,  selling  price  $65.80;  find  the   %   of  loss. 

8.  What  %  is  lost  by  selling  for  $16  that  which  cost 
$20? 

9.  What  %   is  gained  by  selling  for  $100  that  which 
cost  $80? 

10.  What   c/0   is  gained  on  berries  costing   $3   per  bu., 
and  sold  at  16  ct.  per  qt.  ? 

11.  What  %   is  gained   on  indigo  costing    $45   a  cwt., 
and  sold  at  5  ct.  an  oz.  ? 

12.  What   ^    is  gained   on   quinine   costing  $3  an  oz., 
and  sold  at  2  ct.  a  grain  ? 

13.  What  %   is  lost  by  selling  for  $84  that  which  cost 
$105? 

14.  What   %   is  gained  by  selling  for  $105  that  which 
cost  $84? 

15.  Gained    60 %    by   selling  a  cow   for  $60;    what   % 
would  have  been  gained  by  selling  her  for  $50? 

16.  Eeducing  the  selling  price  10  ct.  reduced  the  gain 
8%  ;    find  the  cost. 

17.  What    %    does    the    huckster   gain,   whose   bushel- 
measure  holds  only  3  pk.  6  qt.? 

18.  If  I  sell   15  acres  for  as  much   as   18  acres  cost, 
what  %   do  I  gain? 

19.  If  1  sell  18  acres  for  as  much  as  15  acres  cost,  what 
%  do  I  lose? 

20.  Sugar  was  bought  at  6|-  ct.  a  pound,  and  sold  at 
7£  ct.  a  pound;  what   %   was  gained? 

21.  I  gained  \%  by  selling  my  farm  for  $1346.70;  find 
the  cost. 

22.  What  was  the  cost  of  muslin,  on  which  11-J-^  was 
gained  by  selling  it  at  11^  ct.  per  yd.? 


106  KAY'S  NEW  TEST  EXAMPLES. 

23.  Ectainirig  my  commission  at  2%,  how  much  can  I 
invest  in  cotton  for  a  manufacturer  who  sends  me  $8000? 

21.  Eetaining  my  commission  at  2^,  what  amount  of 
cotton  goods  must  I  sell  for  the  manufacturer  so  as  to 
owe  him  $8000? 

25.  Bought  $8000  worth  of  cotton ;  what  sum  must  the 
manufacturer  send  me,  my  commission  being  2%? 

26.  Sold  $8000  worth  of  cotton  goods;  wThat  sum  must 
I  send  the  manufacturer,  my  commission  being  2%  ? 

27.  I  gained   150^    by  selling  silk  at  $1.50   a   yard  ; 
what  %  would  I  gain  by  selling  at  $1.60  per  yard? 

28.  A   merchant   sold   molasses   to   a  grocer,   gaining 
12%;    the  grocer  retailed  it  for  $4120.90,  gaining  16%; 
what  was  the  first  cost  to  the  merchant  ? 

29.  A  bookseller  gains  20%    by  selling  a  history  for 
$2.10;  if  the  publisher  reduces  his  price  4^,  what  %  will 
the  bookseller  then  make  if  he  sells  at  the  same  price  as 
before  ? 

30.  I  have  a  contract  to  deliver  goods,  and  I  gain  15% 
thereby;  if  the  price  to  me  is  lowered  8^,  how  many  % 
will  my  income  be  increased? 

ARTICLE  175. — Miscellaneous  Examples. 

1.  Jones  had  wheat  costing  $8000,  which  he   sold  to 
Smith   at   8%    profit;    Smith   afterward   sold   the   wheat 
back  to  Jones  for  $8000;  what   %   did  Smith  lose? 

2.  I  bought  goods  at  40  and  40%  off,  paying  for  them 
$294.30;   what  was.  the  list  price? 

3.  Two  farms  were  sold  at  $1800  each  ;  one  at  a  gain 
of  20^,  the  other  at  a  gain  of  25^  ;  what  was  the  differ- 
ence in  their  cost? 

4.  If  I  sell  f  of  a  farm  for  what  f  of  it  cost,  what  % 
do  I  gain? 


PERCENTAGE.  107 

5.  An  architect  charged  -|-%    for  plans  and  specifica- 
tions,  and    \\%    for    superintending    the   erection   of   a 
house  ;  and  he  received  in  all,  $151.20  ;  what  was  the  cost 
of  the  house,  including  his  fees? 

6.  Two  booksellers  expended  $3000   each  for  books, 
one  at  25%  off   the  list,  the  other  at  20%  off;    if  they 
sold  at   the  list   price,  how  much  more  did  one  receive 
than  the  other? 

7.  I  buy  goods  at  20%  off  the  list  price  ;  how  many 
%  can  I  take  off  the  list  price  to  gain  10^  ? 

8.  By  selling  at  25%  off   the  list  price,  I  gain  25^  ; 
what  discount   from   the   list  price  did  I  receive  when 
buying? 

9.  A  sells  to  B  at  10^    profit;    B  sells  to  C  at  5% 
profit;  if  C  paid  $5336.10,  what  did  the  goods  cost  A? 

10.  I  buy  goods  at  20  and  5%  off   the  list  price,  and 
sell  at   5%  off  the  same  list;    what  %   do  I  gain? 

11.  What  %  will  a  grocer  make  in  selling  by  using  for 
a  pound  a  weight  of  only  15^  oz.? 

12.  What  %  will  he  lose,  by  using  the  same  weight  in 
buying? 

13.  How  much  above  cost  must  I  mark  goods,  so  that 
I  can  take  off  20%,  and  still  gain  10^? 

14.  How  much  above  cost  must  I  mark  goods,  so  that 
I  can  take  off  10%  and  still  gain  20^g  ? 

15.  What  %  off  the  list  must  I  receive,  so  that  I  can 
gain  12%  by  selling  at  16%  off  the  same  list? 

ARTICLE  177. — Brokerage. 

1.  Seventy-five    shares    were    bought    at    par    by    a 
broker  for  an  operator  who  paid  $7515  ;  what  was  the  % 
of  brokerage? 

2.  Bought  550  shares  of  stock,  and  my  brokerage  was 
$165  ;  what  was  the  %  ? 


108  RAY'S  NEW  TEST  EXAMPLES. 

3.  Bought   260   shares   at  \<fo    brokerage,   arid   after- 
wards sold  them  at  \%  ;   what  was  my  brokerage? 

4.  The  brokerage  on  820  shares  of  Michigan  Southern 
stock  was  $82  ;  what  was  the   %  ? 

5.  Ninety-eight  shares  of  O.  and  M.  stock  were  sold 
at  |%  brokerage;    what  was  received   for  selling  them? 

6.  How  many  shares   must  be  bought   to  make  the 
brokerage  $50,  at  \<fa  ? 

7.  What  is  the  brokerage  on  8268  shares  of  Kentucky 
Central  stock  at  \%  ? 

8.  What  must  be  paid  a  broker  for  buying  78  shares 
railroad  stock,  at  \%  ;  65  shares  steamboat  stock,  at  \%  ; 
and  48  shares  insurance  stock,  at  \%  ? 

ARTICLE  178. — Assessments  and  Dividends. 

1.  What   would   be   the   assessment  on   60  shares  of 
mining  stock,  at  32 £%  ? 

2.  An  insurance  company  declares  a  dividend  of  3f  %  , 
what  will  A  receive,  who  owns  46  shares? 

3.  An  assessment  of  12^^  on  turnpike  stock  realized 
$28000;   how  many  shares  were  there? 

4.  What  %  must  be  assessed  on  2500  shares  of  steam- 
boat stock,  to  cover  a  loss  of  $75000? 

5.  What   sum   will    the   owner   of   58    shares    receive 
from  a  dividend  of  4|%? 

6.  What  assessment  is  made  when   the  owner  of  35 
shares  pays  $90  more  than  the  owner  of  23  shares? 

7.  A  3^%   dividend  being  declared  on  8000  shares  of 
stock,  $26320  were  paid  out ;  how  much  remained  of  un- 
claimed dividends? 

8.  A  stock  dividend  of  8%  was  declared,  after  which 
the  president  had  378  shares;  how  many  had  he  owned 
before  the  dividend  was  declared? 


PERCENTAGE.  109 


ARTICLE  179. — Stock   Values. 

1.  What   will   be   the   cost   of  40  shares   of  Beading 
E.  R  stock,  at  88$? 

2.  What  will  I  receive  for  280  shares  of  Lackawanna, 
at  127f ? 

3.  What  must  be  paid  for  300  shares  Chesapeake  and 
Ohio,  at  20£,  brokerage  |^? 

4.  How  many  shares  St.  Paul,  at  104$,  brokerage  $%, 
can  I  buy  for  $5421? 

5.  My  agent  sold  for  me  720  shares  Ohio  and  Missis- 
sippi at  $331,  brokerage  \c/0  ;  and  with  the  money  bought 
W abash   Pacific  preferred,  at  44|,  brokerage   \%  ;    how 
many  shares  of  the  latter  did  I  receive? 

6.  Bought  Northern  Pacific  at  50f,  and  sold  at  50$, 
and    neither    lost    nor    gained ;    what    was    the   rate   of 
brokerage? 

7.  Bought    450    shares    of  North    Western    at    133|, 
brokerage,  \%  ;  and  sold  at  133J,  brokerage  \%  ;    what 
was  my  loss? 

8.  If  gold  is  worth  102  in  currency,  what  is  currency 
worth  in  gold  ? 

9.  A  broker  buys  Pacific  Mail,  at  a  brokerage  of  \%, 
for  which  I  pay  $103750,  including  his  brokerage,  $625; 
what  did  he  pay  for  that  stock? 

10.  What  sum  in  gold  must  I  pay  for  $1440  currency, 
at  f%   discount? 

11.  What  sum  in   currency  must  I  pay  for  $1431   in 
gold,  at  -|%  premium? 

12.  How  many  shares,  at  5%   discount,  must  be  given 
for  180  shares  at  14%   premium? 

13.  Invested   $70225   in    Canada   Southern   at   66,   and 
sold  at  68;    find  my  gain,  each  brokerage  being  \%. 


110  RAY'S   NEW   TEST   EXAMPLES. 

ARTICLE  180. — Stock  Investments. 

1.  I   invest   $12168   in   4%    bonds,   at   4^    premium ; 
what  annual  income  will  I  receive  from  them? 

2.  A  man  bought  Covington  and  Lexington  stock  at 
20,  and  received  2^   dividends  annually;    what   fo   was 
that  on  his  investment? 

3.  A   capitalist   invested  $8214  in   4%    bonds  at  74; 
what  income  will  that  produce  annually? 

4.  $19600    was    invested    in    3%     bonds,    giving    an 
annual   income   of  $840;    at  what  rate  were   the   bonds 
bought  ? 

5.  What  income   will   arise   from  investing   $5488  in 
6%  bonds  at  112? 

6.  What  income  will  be  produced  by  investing  $3000 
in  3%   bonds,  at  30? 

7.  I  had  450  6%  bonds,  which  I  sold  at  112,  and  in- 
vested the  proceeds  in  a  5%   bond  at  90;  how  much  did 
I  increase  my  income  ? 

8.  When  gold  declined   from    137   to   120,  how   much 
less  currency  was  received  per  annum  for  eighteen  $500 
6%   bonds? 

9.  What  must  be  paid  for  a  5%  bond,  to  make  a 
investment? 

10.  What  must  be  paid  for  4|-%  bonds  to  realize 
income? 

11.  What  must  be  paid  for  a  6%  bond,  to  make  a  5% 
investment? 

12.  What    <fo    of  income    is    derived    from    U.    S.    5% 
bonds  costing  112,  when  gold  is  105? 

13.  Five    %    mining  bonds   yield  an   income  of  20-|% 
annually;   at  what  rate  were  they  bought? 

14.  How  much  less  income  will  be  obtained  by  invest- 
ing $2185  in  4%  bonds  at  95,  than  in  5%  bonds  at  115? 


INTEREST.  Ill 

INTEREST. 
ARTICLE  183. — Case  I. 


Find  the  interest  for  One   Year  of: 


1.  $500  at 

2.  $750  at 

3.  872  at 


4.  $3200  at  7|%. 

5.  $1950  at 

6.  $5  at  11%. 


Find  the  amount  for  One   Year  of: 


7.  $585  at     4%. 

8.  $75  at  Gf^. 

9.  $8765  at  4*%. 


10.  $470  at  12%. 

11.  $940  at  2|%. 

12.  $999  at     9%. 


Find  the  interest  of: 

13.  $392.00  for  3  yr.,  at     6%. 

14.  $137.50  for  6  yr.,  at  4|^. 

15.  $900.10  for  6  yr.,  at     5%. 

16.  $3570.40  for  4  yr.,  at 

17.  $876.50  for  8  yr.,  at 

18.  $3888.20  for  6  yr.,  at  3|%. 
Find  the  amount  of: 

19.  $375.00  for     5  yr.,  at  6|%. 

20.  $894.50  for     4  yr.,  at     5%. 

21.  $132.35  for     9  yr.,  at     4%. 

22.  $9.45  for     3  yr.,  at     9^. 

23.  $9000.00  for  10  yr.,  at 

24.  $9.99  for     9  yr.,  at 

Find  the  interest  of: 

25.  $270.00  for     2  mo.,  at     8^. 

26.  $52.80  for     5  mo.,  at     5%. 

27.  $1346.00  for     8  mo.,  at     9^. 

28.  $876.52  for  11  mo.,  at  2|%,. 

29.  $777.77  for     7  mo.,  at     7%. 

30.  $300.06  for     8  mo.,  at 


112  KAY'S  NEW  TEST  EXAMPLES. 

Find  the  amount  of: 

31.  $187.50  for     8  mo.,  at     9^. 

32.  $945.00  for  10  mo.,  at     4%. 

33.  $473.20  for     7  mo.,  at     b%. 

34.  $586.20  for     9  mo.,  at  3-'%. 

35.  $3948.80  for     8  mo.,  at  8f%. 

36.  $371.20  for     5  mo.,  at  G\%. 

Find  the  interest  of: 

37.  $600.00  for  20  da.,  at     9%. 

38.  $825.00  for  12  da.,  at     6%. 

39.  $347.50  for  24  da.,  at     5^. 

40.  $72.00  for  15  da,,  at  6|%. 

41.  $1938.57  for  12  da.,  at  2$%. 

42.  $3847.21  for  11  da.,  at  3f%. 

Find  the  amount  of: 

43.  $4740.00  for  10  da.,  at     G% 

44.  $6.00  for  12  da.,  at 

45.  $480.00  for  20  da.,  at 

46.  $16200.00  for  16  da.,  at 

47.  $387.50  for     9  da.,  at 

48.  $474.63  for  11  da.,  at 

Find  the  interest  of: 

49.  $600.00  for  2  yr.  5  mo.,  at  6%. 

50.  $400.00  for  2  yr.  2  mo.  15  da.,  at  4%%. 

51.  $432.00  for  3  yr.  4  mo.  20  da.,  at     5%. 

52.  $387.00  for  2  yr.  6  mo.  24  da.,  at  12%. 

53.  $486.00  for  3  yr.  5  mo.     7  da.,  at     5%. 

54.  $729.00  for  4  yr.  7  mo.     5  da.,  at  6f  %. 

55.  $555.00  for  5  yr.  5  mo.     5  da.,  at     5%. 

56.  $897.31  for  4  yr.  7  mo.  11  da.,  at  11%. 


INTEREST.  113 

Find  the  amount  of: 


57. 
58. 
59. 
60. 
61. 
62. 
63. 

$400.00 
$720.00 
$750.00 
$960.00 
$471.50 
$89.25 
$1367.41 

for 
for 
for 
for 
for 
for 
for 

3 

4 

3 
5 
3 

2 

4 

yr« 

yr. 
yr. 
yr. 
yr. 
yr. 
yr. 

6 
5 

2 
9 
7 
11 
3 

mo., 
mo., 
mo. 
mo. 
mo. 
mo. 
da., 

at 
at 
15 
12 
12 
17 
at 

5%. 
da., 
da, 
da, 
da. 

at 
at 
at 
at 

*fr 

*%. 

64.  $3791.40  for  12  yr.  27  da.,  at  4%. 
Find  the  interest  of: 

65.  $360  from  May  12,  1872,  to  July  20,  1877,  at  1%. 

66.  $450  from  July  25,  1880,  to  Nov.  2,  1884,  at  4%. 

67.  $540  from  Dec.  18,  1880,  to  May  28,  1881,  at  8%. 

68.  $960  from  May  29,  1883,  to  June  1,  1885,  at  3%. 

69.  $1111.50  from  Oct.  13,  1879,  to  May  28,  1888,  at  4%. 

70.  $999.90  from  June  8,  1878,  to  Dec.  1,  1881,  at  %%. 

71.  $379.83  from  March  3,  1878,  to  Oct.  16,  1886,  at  3^. 

Find  the  amount  of: 

72.  $5200  from  Sept.  21,  1873,  to  April  4,  1880,  at  9%. 

73.  $540  from  Oct.  21,  1865,  to  June  7,  1869,  at  8%. 

74.  $480   from   June  5,  1885,  to   Nov.  1,  1887,  at  6%. 

75.  $600  from  Nov.  27,  1801,  to  Aug.  6,  1803,  at  3^. 

76.  $388.80  from  July  7,  1883,  to  Feb.  15,  1885,  at  6|%. 

77.  $493.75  from  June  7,  1882,  to  Jan.  1,  1883,  at  5%. 

78.  $666.66  from  July  21,  1881,  to  Dec.  20,  1883,  at 

ARTICLE  184.—  The  Twelve  Per  Cent  Method. 
Find  the  interest  of  One  Dollar  at  12%  for: 


1.  6  mo.     6  da. 

2.  9  mo.  21  da. 

3.  2  yr.  5  mo.   13  da. 

4.  3  yr.  7  mo.  29  da. 

R.  T.   E.— 8. 


5.  2  yr.  1  mo.  1  da. 

6.  5  yr.  28  da. 

7.  4  yr.  1  da. 

8.  1  yr.  11  mo.  29  da. 


114 


BAY'S  NEW  TEST  EXAMPLES. 


Find  the  interest  of  One  Dollar  for : 


9. 
10, 
11. 
12. 
13. 
14. 

5  mo.  12 

8  mo.  12 
9  mo.     6 
9  mo.  10 
2  mo.     4 
9  mo.     9 

da. 
da, 
da. 
da. 
da. 
da. 

,  at     5%. 
,  at  10%. 
,  at     8%. 
at     9%. 
at     9%. 
at     3^. 

17.  5  mo.  5  da,  at  5%. 
18.  17  da,  at  6%. 
19.  3  yr.  6  mo.  at  4^g. 
20.  2  yr.  7  mo.  8  da,  at  3%. 
21.  1  yr.  4  da,  at  8%. 
22.  3  yr.  9  mo.  18  da,  at 

15. 

7  mo.     7 

da. 

at     7< 

fe« 

10%. 

16. 

4  mo.     1 

da. 

,  at     6< 

fc 

23. 

7 

yr. 

5  da,  at  6%. 

Find 

the  interest  of: 

21 

$600.00 

for 

4  mo. 

10  da. 

at 

6% 

25. 

$720.00 

for 

2  yr. 

5  mo. 

15 

da. 

o  4         t^  (rf 

Ol\J             tj     /Q  . 

26. 

$480.00 

for 

1  yr. 

9  mo. 

12 

da. 

at     9^. 

27. 

$216.00 

for 

7  yr. 

2  mo. 

24 

da. 

at     5^£. 

28. 

$500.00 

for 

3  yr. 

3  mo. 

6 

da. 

at  15%. 

29. 

$360.00 

for 

7  yr. 

7  mo. 

7 

da. 

at     7%. 

30. 

$100.80 

for 

3  yr. 

4  mo. 

5 

da., 

at     5%. 

31. 

$297.60 

for 

3  yr. 

1  mo. 

15 

da. 

at     6%. 

32. 

$102.40 

for 

3  yr. 

7  mo. 

6 

da. 

at     4%. 

33. 

$105.60 

for 

3yr. 

3  mo. 

3 

da. 

at  41%. 

34. 

$487.50 

for 

5  yr. 

6  mo. 

1 

da. 

at     3^. 

35. 

$5000.00 

for 

12  yr. 

1  mo. 

10 

da. 

at     8%. 

36. 

$39.75 

for 

4yr. 

4  da. 

at 

4%. 

37. 

$7.75 

for 

9  mo. 

19  da. 

at 

5%. 

the  amount  of: 

38.  $1296  for  2  yr.  6  mo.  15  da,  at  5%. 

39.  $500.40  for  12  yr.  9  mo.   10  da,  at  4 

40.  $840  for  3  yr.  12  da.,  at  1%. 

41.  $98.75  for  1  yr.  2  mo.  3  da.,  at  6^. 

42.  $5787.28  for  3  yr.  11  mo.  29  da,  at 

43.  30  cents  for  30  years,  at 

44.  $387.45  for  3  yr.  1  da,  at 


INTEREST.  115 

Find  the  interest  of: 

45.  $390  from  Aug.  15,  1870,  to  May  21,  1873,  at  %%. 

46.  $5374  from  May  21,  1870,  to  Aug.  15,  1874,  at  6%. 

47.  $378.47  from  Nov.  12,  1881,  to  April  6,  1884,  at  7^. 

Find  the  amount  of: 

48.  $538.20  from  Aug.  3,  1881,  to  Jan.  27,  1885,  at  5%. 

49.  $588.30  from  Oct.  19,  1870,  to  March  4,  1876,  at  7%. 

50.  $47.38  from  Dec.  5,  1790,  to  May  1,  1820,  at  4%%. 

ARTICLE  185. — Case  II. 

Find  the  time  in  the  following : 

1.  Principal  $720,  Interest  $108.00,  Kate  5%. 

2.  Principal  $540,  Interest     $81.00,  Kate  6%. 

3.  Principal  $600,  Interest  $104.00,  Rate  8%. 

4.  Principal     $90,  Interest     $90.00,  Kate  4%. 

5.  Principal     $80,  Interest  $100.00,  Kate 

6.  Principal     $80,  Amount  $100.00,  Kate 

7.  Principal  $200,  Amount  $400.00,  Kate  5%. 

8.  Principal     $85,  Interest     $28.90,  Kate  6%. 

9.  In  what  time  will  $750  amount  to  $760,  at  6%? 

10.  In  what  time  will  $450,  at  8%,  earn  $57.60  interest? 

11.  In  what  time  will   any   principal   double  itself  at 
.9%? 

12.  In  what  time  will  any  principal,  at  8%,  increase 
one  fourth? 

13.  In  what    time  will  any   principal,  at  6%,  increase 
one  fifth? 

14.  How  long  will  it  take  $480  to  amount  to  $840,  at 

6^? 

15.  How  long  will  it  take  $75  to  amount  to  $76,  at  5%  ? 

16.  How  long  will  it  take  $76  to  amount  to  $95,  at  4^  ? 

17.  How  lonp:  will  it  take  $76  to  gain  $95,  at  4%? 


116  RAY'S  NEW  TEST  EXAMPLES. 

18.  In  what  time,  at  8^,  will  $1500  amount  to  $1737? 

19.  In  what  time  will  $550,  at  8%,  gain  $81.40? 

20.  A  man  paid  $3.50  for  the  use  of  $70  at  20%  ;  how 
long  had  he  had  it? 

ARTICLE  186.—  Case  III. 

Find  the  rate  per  cent  in  the  following  : 

1.  Principal  $400,  interest  $100,  time  4  yr.  2  mo. 

2.  Principal  $750,  interest     $95,  time  1  yr.  7  mo. 

3.  Amount  $315,  interest  $35,  time  2  yr.  1  mo. 

4.  Amount  $390,  principal  $360,  time  1  yr.  8  mo. 

5.  At  what  per  cent  will  any  principal  double  itself 
in  12  years? 

6.  At  what  per  cent  will  any  principal   increase  one 
half  in  10  years? 

7.  Lent  $550  for  3  years,  and  received  $682  ;    what 
per  cent  was  that? 

8.  At  what  per  cent  will  any  principal  treble  itself  in 
40  years? 

9.  At  what  per  cent  will  $900  amount  to  $1000  in  1 
yr.  4  mo.  20  da.? 

10.  A  man  charged  $1  for  the  use  of  $40  for  1  month  ; 
what  per  cent  was  that? 

11.  A  man  charged  $2  for  the  use  of  $50  for  20  days; 
what  per  cent  was  that? 

12.  Principal   $990,  interest   $338.25,  time  5  yr.  1  mo. 
15  da.;    find  the  rate. 

13.  $700,  in  6  years,  amounted  to  $847  ;  find  the  rate 
per  cent. 

14.  A  $5000  IT.  S.  bond  has  coupons  for  $50  every  3 
months  ;  what  is  the  rate  per  cent? 

15.  A  railroad  mortgage  bond  for  $500  has  coupons  for 
$11.25  every  six  months;  what  per  cent  did  it  pay? 


rs 

INTEREST.  117 


16.  A    boy  paid   1   cent  for  the  use  of  $1 
what  rate  per  cent  was  that? 

17.  One  loan  increased  one  third  in   3   years,  another 
one  fourth  in  four  years;  what  was  the  difference  of  the 
rates  ? 

18.  How  much  must  the  rate  be  increased,  to  increase 
the  interest  of  $560,  in  4  years,  $56? 

19.  The   United   States   exchanged   $200000000   of  6% 
bonds  for  new  bonds,  and  saved  $6000000  a  year ;  what 
per  cent  did  the  new  bonds  bear? 

20.  A  state  owed  $2600000  in. 7^  bonds,  for  which  it 
gave  new  bonds,  saving  $65000  annnally;  what  rate  per 
cent  did  the  new  bonds  bear? 

ARTICLE  187. — Case  IV. 

1.  Interest  $65,  time  5  yr.,  rate  5%  ;    find   the  prin- 
cipal. 

2.  What  principal,  in  4  years,  at  7%,  will   produce 
$203  interest? 

3.  Interest  $50,  time  5  yr.,  rate  5%  ;   find  the  prin- 
cipal. 

4.  What    sum,   in    3^    bonds,    will    give    an    annual 
income  of  $735? 

5.  What    sum,   in    4|%    bonds,   will    yield   $792   an- 
nually? 

6.  Interest  for  5  yr.  5  mo.  13  da.,  at  8^,  was  $39.26  ; 
what  was  the  principal? 

7.  Rate  4^,  time  3  yr.  7  mo.  14  da.,  interest  $117.36; 
find  the  principal. 

8.  Rate  8%,  time  8  da.,  interest  $8;    find  the  prin- 
cipal. 

9.  What   sum,  at    3f%,  for   4   yr.  5  mo.  10  da.,  will 
gain  $327.40? 


118  KAY'S  NEW  TEST  EXAMPLES, 

10.  What  sum,  at  6%  interest,  would  gain  $104.43  in 
4  yr.   1  mo.  5  da.? 

11.  What  principal  will  produce  $613.70  interest  in  10 
yr.  10  da.,  at  10%? 

12.  The  interest   for   7   yr.    1    mo.    19   da.,  at   5%,  is 
$128.45;  what  is  the  principal? 

ARTICLE  188. — Case  V. 

1.  What  principal,  in  4  yr.,  at  10%,  will  amount  to 
$840? 

2.  What  principal  will  amount  to  $880  in  2  yr.,  at  5%  ? 

3.  Eate  8^,  time  3  yr.  6  mo.  20  da.,  amount  $231.20; 
find  the  principal. 

4.  Amount  $147.60,  time  2  yr.  10  mo.  15  da.,  rale  8^  ; 
find  the  principal. 

5.  Amount  $180,  rate  5%,  time  6  yr.  8  mo.;  find  the 
principal. 

6.  Amount  $180,  rate  10%,  time  3  yr.  4  mo.;  find  the 
interest. 

7.  What  sum  at  interest  for  7  yr.  7  mo.  6  da.,  at  7-|%, 
will  amount  to  $643.70? 

8.  What  sum    must  I   deposit  in   a  savings  bank,  at 
4%,  so  that  at  the  end  of  3  yr.  2  mo.  15  da.  I  can  draw 
out  $169.25? 

9.  What  sum  at  interest  12  yr.,  at  I2fot  w^ill  amount 
to  $481.90? 

10.  What  principal  will  amount  to  $250.25  in  8  yr.  7 
mo.  6  da.,  at  5%? 

11.  What  principal  would  amount  to  $9409,  in  540  yr., 
at  7%? 

12.  A  loaned  $990  for  6  yr.  8  mo.,  at  3^  ;  what  sum 
must  B  loan  for  7  yr.,  at  5%,  to  realize  the  same  amount 
that  A  does? 


INTEREST.  119 


ARTICLE  190. —  Compound  Interest. 

Find  the  amount,  at  compound  interest,  of: 

1.  $400  for  2  yr.,  at  5%. 

2.  $600  for  1  yr.  6  mo.,  at  10%. 

3.  $409.60  for  3  yr.,  at  6^. 

4.  $500  for  3  yr.,  at  8%. 

Find  the  compound  interest  of: 

5.  $640  for  5  yr.,  at  \%. 

6.  $640  for  4  yr.,  at  5%. 

7.  $500  for  2  yr.  2  mo.,  at  6%. 

8.  $1562.50  for  4  yr.,  at  8%. 

9.  Find  the  interest  of  $2000  for  2  yr.  at  8^    com- 
pound interest,  payable  semi-annually. 

10.  Find  the  compound   interest  of  $125   for  1  yr.  8 
mo.,  at  8%. 

11.  Find   the  compound  interest  of  $250  for  2  yr.,  at 
6%,  payable  semi-annually. 

12.  What  is  the  amount  of  $1000  for  1  yr.  at  4^  com- 
pound interest,  interest  payable  quarterly? 

13.  What  is  the  difference  between   simple  and   com- 
pound interest  on  $1000,  for  3  yr.,  at  4^? 

14.  What  is   the   difference   between   simple  and  com- 
pound interest  on  $1000,  for  4  yr.,  at  3^? 

ARTICLE  191. — Annual  Interest. 

1.  No  interest  having  been  paid,  find  the  amount  due 
in  3  yr.  on  a  note  of  $500,  with  interest  at  6%,  payable 
annually. 

2.  What  would  be  the  amount  of  the  above  note,  if 
the  interest  were  payable  semi-annually? 


120  KAY'S  NEW  TEST  EXAMPLES. 

3.  What  would  be  the  interest  of   $750,  for  5  yr.,  at 
6%,  annually,  no  interest  having  been  paid? 

4.  Interest    having    been    paid    for    3    yr.,    find    the 
amount  due  on  a  note  for  $900,  for  7  yr.,  at  4%,  payable 
annually. 

5.  A    note  was  given   May   15,  1884,  for  $1500,  with 
6%    interest,   payable   annually;    what  was  due  on  this 
note  May  15,  1889? 

6.  AVh at  would  have  been  the  interest  on   the  above 
note  Aug.  15,  1887? 

7.  If  the  interest  on  the  above  note  had  been  paid  for 
3  yr.,  what  would   have   been    due  on  the  note  Oct.  30, 
1890? 

8.  If  the  interest  on  the  above  note  had  been  paid  for- 
2   yr.,    what    would    be    the  interest  due  on   it  Dec.  10, 
1888? 

ARTICLE  192. — Partial  Payments. 

1.  A   note   of  $500  is  dated  Oct.  1,  1870.     Int.,  S%. 
Indorsed   Oct.  1,  1872,  $130;    Oct.  1,  1874,  $100.     What 
was  due  Oct.  1,  1875? 

2.  A   note   of  $500  is  dated  Oct.   1,  1870.     Int.,  S%. 
Indorsed  Oct.   1,   1872,  $30;    Oct.   1,  1874,  $200.     AVhat 
was  due  Oct.  1,  1875? 

3.  A  note  of  $600  is  dated  Jan.  1,  1865.     Int.,  6^. 
Indorsed  March  1,  1866,  $30;  April  1,  1867,  $40;  May  1, 
1868,  $100.     AVhat  was  due  Jan.  1,.  1870? 

4.  A   note  of  $600  is  dated  Jan.  1,  1865.     Int.,  6%. 
Indorsed  April  1,  1866,  $30;  March  1,  1867,  $40;  May  1, 
1868,  $100.     What  was  due  Jan.  1,  1870? 

5.  A  note  of  $800  is  dated  May  18,  1880.     Int.,  5%. 
Indorsed    March   24,    1881,  $84;    July   24,    1881,   $42.50; 
June   4,    1882,   $91  ;    Oct.   4,   1883,  $34.     AVhat  was  due 
Jan.  1,  1884? 


INTEREST.  121 

6.  A  note  of  $500  is  dated  Sept.  19,  1870.     Int.,  4%. 
Indorsed  June  10,  1871,  $10;  Oct.  10,  1871,  $10;  March 
19,  1872,  $40  ;  Aug.  19,  1872,  $38.     What  was  due  Feb. 
13,  1874? 

7.  A  note  of  $960  is  dated  June  23,  1880V    Int.,  ±\%. 
Indorsed  July  8,  1881,  $50;  July  23,  1882,  $50;  Aug.  8, 
1883,  $100;  Jan.  1,  1884,  $15.     What  was  due  June  28, 
1884? 

8.  A  note  of  $875  is  dated    May  5,  1877.     Int.,  6%. 
Indorsed  Oct.  12,  1878,  $50;    July  13,  1879,  $100;    May 
23,  1880,  $30;  June  16,  1881,  $300.     What  was  due  Nov. 
29,  1881? 


ARTICLE  193.—  Mercantile  Rule. 

1.  A  note  of  $400  is  dated    Dec.  16,  1882.     Indorse- 
ments :  March  4,  1883,  $50  ;  May  28,  1883,  $50;  Aug.  10, 
1883,  $50;    Oct.   22,   1883,  $50.     What  was   due   Dec.  4, 
1883,  interest  at  6%? 

2.  A   man    owed   $325   from  Jan.  1,  1879.      He  paid 
March  1,  1879,  $40;  April  1,  1879,  $40  ;  May  1,  1879,  $80; 
July  1,  1879,  $80;  Dec.  1,  1879,  $80.     What  was  due  Jan. 
1,  1880,  reckoning  6%  interest? 

3.  A  man  borrowed  $600  July  1,  1881,  and  paid  $100 
on  the  first  day  of  each  succeeding  month  in  that  year. 
What  was  due  Jan.  1,  1882,  interest  at  6%? 

4.  Borrowed   $187.50    May  13,   1884.     Paid  $30  July 
30,  1884;  $35  Aug.  12,  1884;  $40  Oct.  3,  1884;  $50  Dec. 
17,  1884;  and  $40  Feb.  1,  1885.     What  was  due  May  1, 
1885,  interest  at  12^? 

5.  Borrowed  $110  Jan.  1,  1882,  and  paid  $10  on  the 
first  day  of  each  succeeding  month  in  the  year.     What 
was  due  Jan.  1,  1883,  interest  at  6%? 


122  KAY'S  NEW  TEST  EXAMPLES. 

DISCOUNT. 
ARTICLE  196. — Bank  Discount.     Case  I. 

Find  the  date  when  due,  bank  discount,  and  proceeds  of: 

1.  A  note  of  $400,  dated  July  8,  payable  in  60  days, 
and  discounted  at  6%. 

2.  A   note  of  $450,   dated   March    18,   payable   in   90 
days,  and  discounted  at  8%. 

3.  A   note   of  $400,   dated   April    18,   payable   in   90 
days,  and  discounted  at  9^. 

4.  A  note  of  $520,  dated  June  16,  payable  in  90  days, 
and  discounted  at  4^^. 

5.  A    note    of   $540,   dated    June    16,    payable    in    3 
months,  and  discounted  at  6%. 

6.  A  note  of  $80,  dated  Feb.  24,  1879,  payable  in  60 
days,  and  discounted  at  9%. 

7.  A  note  of  $180,  dated  Jan.  15,  1881,  payable  in  90 
days,  and  discounted  at  4%. 

8.  A    note    of    $480,    dated    May    19,    payable    in    5 
months,  and  discounted  at  3%. 

9.  A    note    of   $320,   dated    Sept.    13,    payable    in    4 
months,  and  discounted  at  ±\%. 

10.  A  note  of  $810,  dated  Jan.  16,  1883,  payable  in  100 
days,  and  discounted  at  8^. 

11.  A   note   of   $89.40.   dated    July  19,  payable  in  40 
days,  and  discounted  at  5^. 

12.  A   note   of  $13.93,   dated   Aug.   18,   payable   in   6 
months,  and  discounted  at  7^. 

13.  A  note  of  $399.99,  dated   Oct.   16,   payable  in   50 
days,  and  discounted  at  10%. 

14.  A  note  of  $1122.33,  dated  Dec.  18,  1879,  payable  in 
90  days,  and  discounted  at  7^. 


DISCOUNT.  123 

Find  the  date  when  due,  time  of   discount,  bank  discount, 
and  proceeds  of  : 

15.  A  note  of  $400,  dated  May  18,  1880,  payable  in  6 
months,  and  discounted  Aug.  21,  1880,  at  t>^. 

16.  A  note  of  $500,  dated  July  26,  1870,  payable  in  90 
days,  and  discounted  Aug.  5,  1870,  at  12^. 

17.  A  note  of  $450,  dated  Jan.  19,  1880,  payable  in  3 
months,  and  discounted  Feb.  16,  at  4%. 

18.  A  note  of  $720,  dated  Oct.  14,  1875,  payable  in  90 
days,  and  discounted  Nov.  21,  1875,  at  5%. 

19.  A  note  of  $360,  dated  May  19,  1877,  payable  in  3 
months,  and  discounted  June  26,  1877,  at  4%. 

20.  A  note  of  $360,  dated  May  19,  1877,  payable  in  90 
days,  and  discounted  June  26,  1877,  at  4%. 

21.  A  note  of  $783.29,  dated  April  22,  1875,  payable  in 
80  days,  and  discounted  June  3,  1875,  at  9%. 

22.  A  note  of  $400,  dated  Dec.  16,  1883,  payable  in  4 
months,  with   interest   at   6^,  and  discounted   Feb.   13, 
1884,  at  9%. 

23.  A  note  of  $720,  dated  Jan.  13,  1846,  payable  in  90 
days,   with   interest   at   10%,  and    discounted    March   3, 
1846,  at  9^. 

24.  A  note  of  $600,  dated  March  2,  1884,  payable  in  8 
mo.  7  da.,  with  interest  at  9%,  and  discounted  July  14, 
1884,  at  12fi. 

25.  A  note  of  $450,  dated  Sept.  19,  1882,  payable  in  9 
mo.  27  da.,  with  interest  at  5%,  and  discounted  Jan.  20, 
1883,  at  8%. 

26.  A  note  of  $5000,  dated  June  16,  1888,  payable  in 
90  days,  with   interest  at  6%,  and  discounted  July  16, 
1888,  at  8%. 

27.  A  note  of  $475,  dated   Jan.  1,  1880,  payable  in  4 
months,   with   interest  at  4%,   and   discounted  Jan.  15, 
1880,  at  10%. 


124  RAY'S  NEW  TEST  EXAMPLES. 


ARTICLE  197. —  Case  II. 

1.  The  proceeds  of   a  note,  payable   in   60   days,  dis- 
counted at  a  bank  at  6%,  were  $494.75.     Find  the  face 
of  the  note. 

2.  A  note  payable  in  30  days  was  discounted  in  bank 
at  8%  ;   the  proceeds  were  $595.60.     What  was  the  face 
of  the  note? 

3.  For  what  sum  must  I  make  a  note  at  60  days,  to 
obtain  $739.50  from  a  bank  discounting  at  8%? 

4.  I   wish    to   obtain   $800   on   a  note  payable  in  42 
days  ;  for  what  sum  must  I  give  my  note  to  a  bank  dis- 
counting at  4%  ? 

5.  For  what  sum  must  I  give  a  60-day  note,  to  obtain 
$1000  from  a  bank  discounting  at  9^  ? 

6.  Sold  40  acres  of  land,  receiving  a  note  at  6  months, 
which   I   at  once  discounted  in  bank   at  6%,  receiving 
$2326.80;  what  was  the  price  per  acre? 

7.  I  sold   20   horses,  receiving  a   note   payable  in   3 
months,  for  which   I   received   $2338   from  a  bank   dis- 
counting at  10%  ;    what  was  the  price  of  each  horse? 

8.  A  note  dated  May  3,  1885,  payable  in   6   months, 
and  drawing  6%   interest,  was  discounted  in  bank  Sept. 
27,  1885,  at  9%,  the  proceeds  being  $2040.39;  what  was 
the  face  of  the  note? 

ARTICLE  199.  —  True  Discount. 

What  is  the  present  icorth  and  discount,  at  6%,  of: 

1.  $450.00,  due  in  3  yr.  4  mo.? 

2.  $900.00,  due  in  7  yr.  4  mo.? 

3.  $685.00,  due  in  6  yr.  2  mo.? 

4.  $810.00,  due  in  2  yr.  1  mo.? 

5.  $359.00,  due  in  3  yr.  3  mo.  10  da.? 


DISCOUNT.  125 

6.  $448.70,  due  in  1  yr.  1  mo.  20  da.? 

7.  $622.30,  due  in  8  yr.  10  da.? 

8.  $373.10,  due  in  5  yr.  6  mo.  15  da,? 

9.  $616.21,  due  in  7  yr.  9  mo.   13  da.? 

10.  $888.00,  due  in  8  yr.  8  mo.  8  da.? 
Find  the  true  discount,  at  6%,  of: 

11.  $961.00,  due  in  4  yr. 

12.  $427.00,  due  in  3  yr.  8  mo. 

13.  $262.80,  due  in  1  yr.  7  mo. 

14.  $490.10,  due  in  4  yr.  3  mo.   10  da. 

15.  $161.21,  due  in  2  yr.  6  mo.     9  da. 

16.  $3836.90,  due  in  2  yr.     1  mo.  21  da. 

17.  $936.43,  due  in  6  yr.  11  mo.  23  da. 

18.  $700.00,  due  in  9  mo.  13  da. 

19.  $1000.10,  due  in  27  da. 

20.  A    bill   of    merchandise   amounted    to    $364,   at   4 
months  time,  or  4%  off  for  cash  ;  if  money  is  worth  12% 
per  annum,  how  much  will  the  buyer  gain   by  paying 
cash  ? 

21.  What  should  be  paid  May  10,  1884,  for  a  debt  of 
$264.20,  due  Jan.  15,  1886,  money  being  worth  6%? 

22.  A   debt  of  $1368   is   due   in  2  years :    how  much 
more  should  be  given  for  it,  if  money  is  worth  7%,  than 
if  money  is  worth  10%? 

23.  A  balance  of  $514.80  is  due:    one  third  in   1  yr., 
one  third  in  2  yr.,  and  the  balance  in  3  yr.     What  sum 
should  pay  it  now,  money  being  worth  10%? 

24.  What  debt  could  be  settled  by  paying  $561.60  cash, 
and  giving   two  notes,  of  $561.60  each,  one  payable  in 
6  mo.,  and  the  other  in  1  yr.,  money  being  worth  8%? 

25.  A   lot  was  bought   for  $1800,  one   third   cash,  one 
third  in  1  yr.,  and  one  third  in  2  yr.,  with   interest  at 
6%.    If  money  is  worth  10%,  what  sum  in  cash  should 
have  been  paid  for  the  lot? 


126  KAY'S  NEW  TEST  EXAMPLES. 

ARTICLE  201. — Domestic  Exchange. 

1.  New    York    exchange    being    \%    premium,    what 
must  be  paid  for  a  sight  draft  on  that  place  for  $4700? 

2.  What  must  be  paid  for  a  sight  draft  on  San  Fran- 
cisco for  $730,  at  \%  discount? 

3.  Find  the  cost  of  a  sight  draft  on  Philadelphia  for 
$4950,  at  2^%  premium. 

4.  Find    the   cost    of    a    sight    draft   on   Toronto   for 
$1360,  at  \^0  discount. 

5.  What  must  be  paid  for  a  -sight  draft  on  Milwaukee 
for  $373.84,  at  \%  premium? 

6.  What  will  be  the  cost  of  a  sight  draft  on  Santa  Fe 
for  $2377.50,  at  \%   discount? 

7.  What  must  be  paid  for  a  draft  on  New  York   for 
$1000,  payable  in  30  days,  exchange  at  par,  and  interest 
6#? 

8.  What   must    be    paid    for   a   draft   on    Boston    for 
$1000,  payable  in  30   days,  exchange    being  at  \%    dis- 
count, and  interest  6%? 

9.  Find   the  cost  of  a  30-day  draft  on  Savannah  for 
$2400,  exchange  at  \%  discount,  interest  at  8%. 

10.  What  cost  a  60-day  draft  on  Cleveland  for  $1500, 
exchange  at  \%  premium,  interest  at  8%? 

1 1.  What  was  the  face  of  a  sight  draft  for  which  $796 
was  paid,  exchange  at  \^0  discount? 

12.  What  wras  the  face  of  a  60-day  draft  on  New  York, 
for  which  $792  was  paid,  exchange  being  -^^   premium, 
and  interest  6%  ? 

13.  What  was  the   face  of   a    90-day  draft  on  Mobile 
costing   $1857.83,   exchange   being   at   \%    premium,    in- 
terest at  8%  ? 

14.  $1000   was   paid   for  a   sight   draft  on   Detroit,   ex- 
change at  \%  discount;  what  was  the  face  of  the  draft? 


INSURANCE.  127 

ARTICLE  202. — Foreign  Exchange. 

1.  What  must  be  paid  for  a  bill  of  exchange  on  Lon- 
don for  £796  5s.,  exchange  being  at  $4.84? 

2.  What  will  be  the   cost  of  a  bill  of  exchange  on 
Edinburgh  for  £283  15  s.,  exchange  being  at  $4.88? 

3.  How  large  a  bill  on  Manchester  can  be  bought  for 
$5314.41,  exchange  being  at  $4.86? 

4.  How  large  a  bill  on  Marseilles  can  be  bought  for 
$818.75,  exchange  being  at  5  fr.  16  centimes? 

5.  What   cost   a  bill   on   Havre   for   5047  francs,  ex- 
change being  at  5  fr.  15  centimes? 

6.  What  cost  a  bill  on  Munich   for  4800  reichsmarks, 
exchange  being  96  cents  for  4  reichsmarks? 

7.  What  cost  a  bill  on  Dresden  for  3742  reichsmarks, 
exchange  being  at  $.98? 

8.  How  large  a  bill   on   Stuttgart  can  be  bought  for 
$1000,  exchange  being  at  $.965? 


INSURANCE. 
ARTICLE  204. — Fire  and  Marine  Insurance. 

1.  What  must  be  paid  for  $4800  insurance  on  a  dwell- 
ing at  ^7 

2.  A  factory  is  valued  at  $18000;  what  must  be  paid 
for  insuring  l  of  its  value,  at  f%  ? 

3.  What   will    be   the   premium   for   insuring   %   of  a 
steamer  valued  at  $36800,  at  \%  ? 

4.  A  store  is  valued  at  $15000,  and  the  contents  at 
$11000;  what  will  be  the  premium  for  insuring  |  of  the 
value  of  the  store,  at  |%,  and  |  of  the  value  of  the  con- 
tents, at  \%'l 


128  RAY'S  NEW  TEST  EXAMPLES. 

5.  Insured   a   mill   for    f    of   its    value,    at    f%,    the 
premium  being  $41.25;  what  was  the  value  of  the*  mill? 

6.  A  merchant  has  goods  valued  at  $46000,  and  pays 
$184  for  insurance  at  \%  ;  what  part  of  the  value  is  in- 
sured? 

7.  I  insured  f  of  a  factory,  valued  at  $35400,  and  |  of 
the  stock,  valued  at  $41200,  paying  $436;  what  was  the 
rate  of  insurance? 

ARTICLE  205. — Life  Insurance. 

1.  What  must  be  paid  yearly  for  $6000  life  insurance, 
the  premium  being  $32.18  per  $1000? 

2.  A  man  paid  $382.50  for  5  years  insurance  on  a  life 
policy  for  $3000;    what  was  the  company's  annual  rate 
per  $1000? 

3.  A   father,   at   the   age   of   50,   insures   his   life   for 
$5000,  at   $47.18   per  $1000  annually  ;    his  son,  aged  21, 
insures  his  life  for  the  same  sum,  at   an  annual  rate  of 
$19.89.     If  each  lives  to  the  age  of   71,  which  will  pay 
the  greater  sum  for  insurance,  and  how  much  more  than 
the  other  will  he  pay? 

4.  An  endowment  policy  for  $2000  costs  $107.32  per 
$1000  annually,  for  10  years;  what  would  be  the  amount 
of  the  ten  payments,  allowing  simple  interest  at  6%  ? 


TAXES. 
ARTICLE  208.— To  fix  the  Rate  of  Taxation. 

1,  A  tax  of  $625000  is  to  be  levied  upon  a  valuation 
of  $250000000  ;  what  will  be  the  rate  of  taxation  ? 

2,  The  valuation  in  a  certain  city  being  $165000000, 
and  the  amount  of  tax  to  be  levied  $3795000,  what  will 
be  the  rate  of  taxation  ? 


TAXES.  129 

3.  The  expense  of  building  a  school-house  was  esti- 
mated at  $6600,  to  be  raised  by  a  tax  of  2^  mills  on  $1  ; 
what  is  the  valuation? 

4.  $3471250    is    to    be    levied    upon    a    valuation    of 
$571273600;  what  will  be  the  rate  to  the  hundredth  of  a 
mill? 

ARTICLE  209. — Apportionment  of  Taxes. 

1.  $3400  is  to  be  assessed  upon  a  town;  the  valuation 
is  $1269531.25,  and  100  persons  pay  $1.50  each  for  poll 
tax ;  find  the  rate  of  levy,  and  construct  a  table  to  $9000. 

With  the  above  levy,  find  the  tax  to  be  paid  by  the  follow- 
ing persons: 

2.  William  Smith,  property  $7500,  2  polls. 

3.  G.  W.  Wright,  property  $5610,  1  poll. 

4.  Euth  Williams,  property  $6495. 

5.  Seth  Cooper,  property  $1698,  1  poll. 

6.  William  Simpson,  property  $1627,  2  polls. 

7.  Enoch  Ayres,  property  $1240,  3  polls. 

8.  Matthew  Wilson,  property  $990,  1  poll. 

9.  The  tax  to  be  raised  in  a  city  is  $4117136;  the  tax- 
able property  is  valued  at  $162580364  ;  find  the  rate  of 
levy  to  one  thousandth   of  a  mill,  and  construct  a  tax 
table  to  $90000. 

With  the  above  table,  find  the  amount  of  tax  to  be  paid  by : 

10.  Eli  Wiggins,  property  $874. 

11.  Marion  Thompson,  property  $194560. 

12.  Timothy  Stewart,  property  $1418720. 

13.  Silas  Burns,  property  $84. 

14.  John  Shaw,  property  $848. 

15.  Jonas  Newcome,  property  $8484. 

16.  Emmanuel  Goldsmith,  property  $84848. 

R.  T.  E.— 9. 


130  KAY'S  NEW  TEST  EXAMPLES. 


ARTICLE  211. — Internal  Revenue. 

1.  The  tax  on  proof  spirits  is  70  cents  a  gallon;  what 
would  be  the  tax  on  a  barrel  of  48  gallons? 

2.  AVhat  would  be  the  tax  on  a  barrel  of  whisky  con- 
taining 52  gallons,  50^  above  proof? 

3.  What  would  be  the  postage  on  a  book  weighing  1 
Ib.  1\  oz.,  at  the  rate  of  1  cent  for  each  2  ounces  or  frac- 
tion thereof? 

4.  What  would  be  the  postage  on  a  letter  weighing  1 
Ib.  1\  oz.,  at  the  rate  of  2  cents  for  every  half  ounce  or 
fraction  thereof? 

5.  What  would  be  the  postage  on  a  package  weighing 
1  Ib.  7^  oz.,  at  the  rate  of  1  cent  for  each  ounce,  or  frac- 
tion thereof? 

6.  What   would    be   the   postage   on   15   letters,   each 
weighing  \  oz.  ? 

7.  What  would  be  the  postage  on  15  packages,  each 
weighing  \  oz.? 

8.  What  would  be  the  postage  on  15  books,  sent  sep- 
arately, each  weighing  \  oz.? 

9.  What  would  be  the  postage  on  2  dozen  books,  each 
weighing  2  Ib.? 

10.  The  tax  on  cigars  is  $3  per  1000;    what  must  be 
paid  for  216  boxes,  containing  50  each? 

11.  The  tax  on  small  cigarettes  is  50  cents  per  1000; 
what   will   be   the   tax   on    100   bundles,   containing   200 
small  cigarettes  each? 

12.  What  will  be  the  tax  on  3  T.  13  cwt.  of  snuff,  at 
8  cents  a  pound? 

13.  A   firm   paid   $30   postage   on    2-oz.    letters;    how 
many  were  sent? 

14.  Paid  $30  postage  on  8-oz.  books;  how  many  were 
sent  ? 


TAXES.  131 


ARTICLE  212. — Duties  or  Customs. 

1.  What  is  the  duty  on  5  T.  3  cwt.  of  flour  sulphur, 
at  $20  per  ton? 

2.  What  is  the   duty  on   23040  steel  pens,  at  12  ct. 
a  gross? 

3.  Find  the  duty  on  100^000  Ib.  of  iron  ore,  at  75  ct. 
per  ton. 

4.  Find   the   duty   on    72000   shingles,  at  35   ct.   per 
1000. 

5.  A  cask  of  borax  weighs  572  Ib. ;  allowing  6%  for 
tare,  what  will  be  the  duty  at  5  ct.  per  Ib.? 

6.  Imported    an    invoice    of   silk,    costing    $3739.30 ; 
what  was  the  duty  at  50^  ? 

7.  Imported  450  boxes  raisins:  gross  weight  of  each, 
25  Ib.,  tare  8%  ;  find  the  duty  at  2  ct,  per  Ib. 

8.  What  will  be  the  duty  on  2  dozen  repeating  rifles, 
costing  in  England  £5  5  s.  each,  the  duty  being  25%, 
and  the  pound  quoted  at  $4.88? 

9.  Find  the  duty  on   46   T.  Bessemer  steel,  at  45%; 
cost  per  ton,  £6  10  s.,  and  the  pound  being  $4.84. 

10.  Imported  10  cases  woolen  cloths,  weighing  272  Ib. 
each;  tare,  5%  ;  cost,  90  ct.  per  Ib.     What  is  the  duty,  at 
35  ct.  per  Ib.  and  40%  ad  valorem? 

11.  Find  the  duty  on  72  crates  of  queensware  costing 
£73  6  s.  8  d.  per  crate,  commission  3^%,  duty  55%,  the 
pound  =.  $4.86. 

12.  Imported    100    cases    German    toys,    costing    180 
marks  per  case,  commission  31%  ;  find  the  duty  at  35%, 
the  mark  being  23.6  ct. 

13.  Bought  100  dozen  umbrellas  at  £3  6  s.  per  dozen; 
what  was  the  duty  at  50%,  £1  =  $4.868? 

14.  Bought  18  bales  Turkey  sponge,  weighing  130  Ib. 
each,  at  5  s.  4  d.  a  Ib.  ;  find  the  duty  at  20%,  £1  =$4.86. 


132 


RAY'S  NEW  TEST  EXAMPLES. 


RATIO. 

ARTICLE  214. 

What  is  the  ratio  of: 

1.  140  to       7?  10.  1000  to 

2.  37|  to     3f?  11.     88!  to  19f? 

3.  56  to     2|?  12.       87  to  23£? 

4.  100  to     17?  13.     41f  to     6f  ? 

5.  112  to  17!?  14.       7£  to  175? 

6.  18  to  171?  15.        f  to     18? 

7.  18f  to     7!?  16.        $  to  100? 

8.  40f  to  25|?  17«     42  to    -07? 

9.  7f  to     26?  18.  13^-  to    4.5? 

19.  9  A.  to  18  sq.  rd.? 

20.  7  mi.  10  rd.  to  30  rd.? 

21.  1  bu.  1  pk.  1  qt.  to  1  qt,  1  pt.? 

22.  5  Ib.  4  oz.  to  7  cwt.? 

23.  3  weeks  to  9  hr.? 

24.  4  sq.  mi.  to  13  A.? 


ARTICLE  215. 

Find  the  antecedent  in  the  following : 

1.  Consequent,  35;  ratio,  20. 

2.  Consequent,  280;  ratio,  100. 

3.  Consequent,  17!;  ratio,  19. 

4.  Consequent,  -|;  ratio,  ^. 

5.  Consequent,  8|;  ratio,  6^. 

6.  Consequent,  3|;  ratio,  4.6. 

7.  Consequent,  4.3;  ratio,  6^. 

8.  Consequent,  15  sq.   mi. ;  ratio,  .008. 

9.  Consequent,  2  ft.   9  in. ;  ratio,  4|. 

10.  Consequent,  3  wk.  3  da.  12  hr. ;  ratio, 


KATIO. 


133 


ARTICLE  216. 

Find  the  consequent  in  the  following  : 

1.  Antecedent,  137.2;  ratio,  7. 

2.  Antecedent,  3.4;  ratio,  .08. 

3.  Antecedent,  4£;  ratio,  6-|. 

4.  Antecedent,  f ;  ratio,  -^. 

5.  Antecedent,  4  bu.  1  qt. ;  ratio,  6. 

6.  Antecedent,  13  gal.  3  qt. ;  ratio,  .05. 

7.  Antecedent,  14  hr.  40  min. ;  ratio,  30. 

8.  Antecedent,  13.2  liters;  ratio,  .08. 


ARTICLE  217. 

Find  the  value  of  the  following  compound  ratios  : 


1. 


3. 


4. 


16  bu. 
175  A. 


(27 
(77 


28  bu. 
180  A. 


27  da.        :  22  da. 
horses :  63  horses. 


5. 


6. 


7. 


8. 


1.2  :  .3. 

3i   :  i 
(    1  wk.   :  8  hr. 

1 16  men  :  2  men. 
(    6.4  :  8. 
<     4.5  :  9. 
I  396  :  7.2. 

;6  men  :     2  men. 
8  da.     :  16  da. 
12yd.    :     2yd. 


ARTICLE  219. — Reduction  of  Ratios. 
Reduce  the  following  ratios  to  their  lowest  terms : 


1.  80 

2.  259 

3.  77 

4.  999 

5.  9999 

6.  648 


64. 

111. 

33. 

99. 

4545 

486. 


7.  388  :  1261. 

8.  329  :     517. 

9.  48  da.  :  36  da. 

10.  9  wk.  :  2  da.  1  hr. 

11.  22gal.:lgal.:lqt.:lpt. 

12.  8  oz.  :  3  Ib.  Av. 


134  KAY'S  NEW  TEST  EXAMPLES. 

ARTICLE  220.  —  Clearing  Ratios  of  Fractions. 

Clear  the  following  ratios  of  fractions  : 

1.  71  :  4f.  3.  6f  :  2f. 

2.  16f  :  2£.  4.  4|  :  3f 

Express  the  following  ratios  in  their  simplest  forms  : 


5.  5 
6. 


7,  16f  : 

8.  1       : 


PROPORTION. 

ARTICLE  223. —  To  find  Missing  Terms. 

1.  9  :  12  :  :  51  :  what? 

2.  12  :  16  :  :  what  :  28? 

3.  38  :  what  :  :  57  :  12? 

4.  36  :  what  :  :  27  :  72? 

5.  27^  :  37|  :  :  what  :  18f  ? 

6.  8  :  9  :  :  73  :  what? 

7.  8  :  9  :  :  what  :  73? 

8.  8  :  what  :  :  9  :  73? 

9.  What  :  8  :  :  9  :  73? 

10.  5  qt.  :  2  pk.  2  qt.  :  :  24  :  what? 


^4  !  4 'I  }  •  : 


14.  "  'yi':  what  :  3  cwt.  1  lb.? 


PROPORTION.  135 

ARTICLE  224. — Simple  Proportion. 

1.  If  17  A.  cost  $205,  what  will  85  A.  cost? 

2.  If  46  bu.  of  wheat  cost  $37.20,  what  will  115  bu. 
cost  ? 

3.  If  $1000  will  buy  160  hogs,  what  will  1000  hogs 
cost? 

4.  What  cost  210  brooms,  at  $2.60  per  doz.? 

5.  Seventy    horses    cost    $11000;    at    that    rate,   how 
many  can  be  bought  for  $16500? 

6.  If  a  lot  46  feet  front  is  worth  $975,  what  would  a 
lot  207  feet  front  be  worth? 

7.  If  49  yd.  of  silk  cost  $50.40,  what  will  126  yd.  cost? 

8.  If  27  gal.  of  wine  cost  $31.50,  what  will  84  gal.  cost? 

9.  If  a  telegram  of  40  words  costs  $1.70,  what  should 
be  paid  for  a  telegram  of  76  words  for  the  same  distance? 

10.  If  15   dozen   brooms   cost   $41.40,   what   will   800 
brooms  cost? 

11.  If  $47  will  buy  1750  Ib.  of  iron,  what  will  2450  Ib. 
cost? 

12.  If  a  car  travels  506  mi.  in  44  hr.,  how  long  would 
it  require  to  go  1587  mi.? 

13.  A  man  has  corn  to  feed  54  horses  38  weeks  ;  how 
long  would  it  last  57  horses? 

14.  A  laborer  works  for  $1.25  a  day,  and  is  paid  in 
potatoes  at  55  ct.  a  bu. ;   how  many  bushels  will  he  re- 
ceive for  50  days  work? 

15.  Ten  pipes  fill  a  reservoir  in  64  hr. ;  if  2  pipes  were 
closed,  how  long  would  it  take  the  others  to  fill  it? 

16.  A  man  walks  |    mi.  in   ^-  hr.  ;  how   far   can   he 
walk  in  44  da.? 

o  o 

17.  If  a  gallon  of  brandy  costs  as  much  as  1  gal.  2  qt. 
of  wine,  how  much  brandy  should   be  given   for   1  gal. 
of  wine  ? 


136  RAY'S  NEW  TEST  EXAMPLES. 

18.  A  watch  loses  1  rain.  24  sec.  in  a  week;  how  much 
will  it  lose  in  4  da.  12  hr.? 

19.  If  2  T.  5  cwt.  of  hay  cost  $25.20,  how  much  can 
be  bought  for  $84? 

20.  A  crew  of  96  men  have  provisions  for  72  days; 
how  many  men  must    desert,  that   the  remainder  may 
have  enough  for  108  days? 

21.  A  man  borrows  256  bu.  of  oats,  worth  35  ct.  a  bu. ; 
how  much  should   he   return,  the   price  having  fallen  3 
ct.  a  bu.? 

22.  How  many  bu.  of  oats,  at  53  ct.,  should  be  given 
for  940  bu.  3  pk.  of  wheat,  at  71  ct.  ? 

23.  When  flour  is  $10  a  bl.  the  10  ct.  loaf  weighs  1  Ib. 
12  oz.  ;   what  should  it  weigh  when  flour  is  $8  a  bl.? 

24.  A   man  makes   5800   steps,  of  33  in.  each  ;  if  his 
son's  steps  are  4  in.  shorter,  how  many  steps  must  he 
make  in  walking  the  distance  with  his  father? 

25.  If  a  locomotive  burns  200  bu.  1  pk.  of  coal  in  run- 
ning 441  mi.,  how  far  can  it  run  with  227  bu.  1  pk.? 

26.  If  a  man  can  cut  12  C.  of  wood  in  55  hr.,  how 
much  can  he  cut  in  22  days,  working  10  hr.  a  day? 

27.  If  580    sheep   can   graze   on   72    A.   80  sq.   rd.   of 
pasture,  how  much  will  be  required  for  850  sheep? 

28.  If  a  yard-stick  casts  a  shadow  4  ft.  long,  when  held 
upright,  how   high   is   the   tree  whose  shadow  is  220   ft. 
long? 

29.  Bought  120  chairs,  at  70  ct.  apiece;    had  the  cost 
been  10  ct.  more  apiece,  how  many  could  I  have  bought? 

30.  Had   the  cost  been    10   ct.  less  apiece,  how  many 
could  I  have  bought? 

31.  Had  I  bought  30  more  for  the  same  money,  what 
would  each  have  cost? 

32.  Had    I   bought  20  less  for  the  same  money,  what 
would  each  have  cost? 


PROPORTION.  137 

33.  If  a  man  earns  $402  in  f  of  a  year,  how  much  can 
he  earn  in  £  of  a  year? 

34.  What  cost  37-J-  yd.  of  cloth,  if  £  yd.  is  worth  $f  ? 

35.  How  long  should  I  lend  a  man  $880,  to  compensate 
for  a  loan  of  $660  for  60  days? 

36.  If  .68  yd.  of  cloth  is  worth  $1.16,  find  the  value  of 
.85  yd. 

37.  If  the  composition   for  a  book  of  336  pages  cost 
$450.52,  what  will  be  the  cost  of  composition  for  a  sim- 
ilar book  of  504  pages? 

38.  If  a  hog  weighing  325  Ib.  is  worth    $23.40,  what 
should  be  given  for  one  weighing  425  Ib.? 

39.  How  many  men  can  do  in  5^-  days  as  much  work 
as  364  men  can  do  in  8^  da,? 

40.  What  sum  will  pay  freight  on  6  T.  15  cwt,  as  far 
as  3  cwt.  25  Ib.  can  be  carried  for  $1.04? 

41.  A  man  was  charged   $132   for  silk,  but  discovered 
that  it  had  been   measured  with   a  measure  34±   inches 
long,  instead  of  1  yd.;  what  was  the  true  bill? 

42.  Eight  cu.  ft.  of  water  weigh  5  cwt. ;  what  will  be 
the  capacity  of  a  vessel  containing  4  T.  7  cwt.  50  Ib.  of 
water? 

43.  A  grocer's  weights  are  deficient  at  the  rate  of  1  oz. 
in  2  Ib. ;    what   is  the  true  weight  of  a  parcel   sold   for 
240  Ib.? 

44.  At  10  ct.  a  Ib.  (false),  what  will  he  charge  for  sugar, 
the  true  weight  of  which  is  155  Ib.  ? 

45.  If  |  §  make  160  pills,  how  many  can  be  made  from 
3g29? 

46.  A  town  of  4750  inhabitants  increased  in  population 
950  in  one  year;  at  the  same  rate,  what  will  be  the  in- 
crease the  next  year? 

47.  If  I  sell  my   horses  at   a  gain   of   36%,   I   clear 
$4560;  what  will  be  my  profit  if  I  sell  at  63^  gain? 


138  RAY'S  NEW  TEST   EXAMPLES. 

48.  If  muslin  27^  in.  wide  is  worth  11  ct.  a  yd.,  how 
much  should   be   paid   per   yd.    for   muslin   4  ft.    2^   in. 
wide? 

49.  If  a  school  with  750  pupils  sends  80  to  the  high 
school,  how  many  should  a  school  of  1800  pupils  send? 

50.  The  fore  wheel  of  a  wagon  is  17  ft.  6  in.  in  circum- 
ference;   and   the   hind   wheel,   20   ft.   5   in.;    how  many 
revolutions  will   the   fore   wheel    make    while   the    hind 
wheel  makes  756? 

51.  How  many  revolutions  will  the  hind  wheel  make 
while  the  fore  wheel  makes  756? 

52.  A    mining    company    employed    580    miners,    the 
weekly  pay-roll  of  wages  being  $630.75  ;  what  would  be 
the  weekly  wages  after  40 , men  were  discharged? 

53.  A  man  measuring  a  road  gave  the   length   at  840 
yards,  the  true  length  being  825  yards  ;   how  much  too 
short  was  his  yard-stick? 

54.  A  clock  loses  1  min.  12  sec.  in  48  hr. ;  how  much 
will  it  lose  in  6  da.  8  hr.? 

55.  A  steamer  goes  13  mi.  240  rd.  per  hour;  a  sailing 
vessel,  71  mi.  per  hour;  how  long  will  the  latter  be  on  a 
voyage  which  the  steamer  could   perform   in   73   hr.  12 
min.? 

56.  If  a  county,  having  350000  inhabitants,  is  entitled 
to    8    representatives,  how   many   should   be  sent   by   a 
county  whose  population  is  787500? 

57.  A  man,  whose  farm  is  valued  at  $7930,  is  taxed 
$14.78    for    a    bridge ;    what    will    be    levied    upon    his 
neighbor,  whose  farm  is  valued  at  $8947? 

58.  With  a  certain  machine  a  power  of  90  pounds  can 
move   a   weight  of  3  T.   6   cwt. ;    what   weight   can    be 
moved  by  a  power  of  3  cwt.  applied  to  the  machine? 

59.  My  gain  on  $4760  sales  was  $116.38;  at  the  same 
rate,  what  will  be  my  gain  on  $15928  sales? 


PROPORTION.  139 

ARTICLE  225. — Compound  Proportion. 

1.  If   5  men  in  6  da.  earn  $49.50,  how  much  can   8 
men  earn  in  9  da.? 

2.  If  6  men  in  8  da.  earn  $78,  how  many  men  can  be 
hired  for  4  da.  for  $117? 

3.  If  8  men  in   12  da.  earn  $120,  how  long   can   14 
men  be  hired  for  $210? 

4.  Twelve  lots,  each  15  rd.  long  and  12  rd.  wide,  cost 
$2400  ;  at  the  same  rate,  what  would  be  the  price  of  18 
lots,  each  12  rd.  long  and  10  rd.  wide? 

5.  How  many  lots,  15  rd.  by  7  rd.,  could  be  bought 
for  $2800? 

6.  If  lots  are  9  rd.  wide,  how  long  should  they  be  so 
that  22  lots  should  be  worth  $3960? 

7.  How  wide  must  the  lots  be,  so  that  15,  each  15  rd. 
long,  may  be  worth  $2700? 

8.  Interest  for  6  mo.  10  da.,  at  6%,  was  $72.20;  what 
would  it  have  been  for  3  mo.  24  da.,  at  8%? 

9.  A  man  bought  18  cows  with  his  commission   on 
$21600  sales,  at  %\%  ;  how  many  could  he  buy  with  the 
commission  on  $44000  sales  at  1|%? 

10.  If  20  bu.  of  potatoes  can  be  raised  on  a  lot  20  yd. 
long  and  20  yd.  wide,  how  many  bushels  can  be  raised 
on  another  lot  10  rd.  long  and  10  rd.  wide? 

11.  If  a   railroad  carries  4500  pounds  1800  miles  for 
$27,  how  far  can  3000  pounds  be  carried  for  $11? 

12.  If  4000  books,  of  384  pages  each,  require  200  reams 
of  paper,  how  many  similar  books,  of  324  pages   each, 
can  be  printed  from  216  reams  of  paper? 

13.  If  9  dogs  catch  9  rabbits  in  9  min.,  how  many  rab- 
bits will  12  dogs  catch  in   12  min.? 

14.  If  10  cats  catch  10  rats  in  10  min.,  how  many  cats 
must  be  employed  to  catch  18  rats  in  18  min.? 


140  RAY'S  NEW  TEST  EXAMPLES. 

15.  If  a  merchant's  profits  are  $7380  for  9  mo.,  when 
he  is  clearing  8^    a  year,   what  will  be  his  gain  for  7 
mo.,  when   he  is  clearing  10%   a  year? 

16.  If  the  10  ct.  loaf  weigh  2  Ib.  3  oz.,  when  flour  is 
$9.75  per  barrel,  what  should  the  8  ct.  loaf  weigh,  when 
flour  is  $6.50  per  barrel? 

17.  If  carpets  cost  $810  for  a  house  of  12  rooms,  each 
15  b}~  18  feet,  what  will  the  same  kind  of  carpet  cost  for 
a  house  of  10  rooms,  each  12  by  15  feet? 

18.  What  is  the   ratio  of  the   glazing  of  two  houses: 
the   first   contains   15   rooms,   with    four   windows  each; 
each  window  has  2  sashes;  each  sash,  6  panes,  11  by  16  in.; 
the  second  house  has  11  rooms  ;  each  room,  3  windows  ; 
each  window,  2  sashes;  each  sash,  2  panes,  15  by  32  in.? 

19.  A  farmer  sold   his  potatoes  for  $147.84 ;    the  next 
year  he  planted  a  strip  which  was  longer  in  the  ratio  of 

5  to  4,  but  narrower  in  the  ratio  of  3  to  4 ;  crops  were 
more  abundant  in  the  ratio  of  10  to  9,  and  prices  \vere 
lower  in  the  ratio  of  7  to  8;  what  should  he  receive  for 
his  crop  the  second  year? 

20.  A  road  300  rd.  long  and  40  ft.  wide,  was  dug  2  ft. 

6  in.  deep  by  40  men  in    5   days,  of  10    hr.  each ;    how 
many   men    must    be   employed   to   make   a   road    5   mi. 
long,  2  rd.  wide,  dug  3    ft.  deep,  in  16  days,  of  11    hr. 
each? 

21.  If  the    freight    of    20    hogsheads    of   sugar,   each 
weighing   13   cwt.    20   Ib.,    is   $44.88  for  65  miles,  what 
should  be  the  freight  on  250  barrels  of  sugar,  each  weigh- 
ing 2  cwt.  8  Ib.,  for  66  mi.? 

22.  If  a  floor  33  ft.  9  in.  by  26  ft.  8  in.  cost  $22.50, 
what  will  be  the  cost  of  a  floor  39  ft.  6  in.  by  29  ft.  4  in.? 

23.  How  many  flag-stones,  each  88  in.  long  and  20  in. 
wide,  will  be  required  to  replace  a  pavement  containing 
8800  bricks,  each  8  in.  long  and  4  in.  wide? 


PROPORTION.  141 

24.  If  5  men  can  dig  a  cellar  48  ft.  long,  20  ft.  wide, 
and  9  ft.  deep,  in  8  da.,  of  8  hr.  each,  how  many  men 
must  be  employed  to  dig  a  cellar  60  ft.  long,  27  ft.  wide, 
and  10  ft.  deep,  in  10  days,  of  10  hr.  each? 

25.  If  an  engine,  running  18  mi.  240  rd.  in   40    min., 
can  carry  a  train  from  one  station  to  the  next  in  2  hr. 
27  min.,  how  long  would  the  same  distance  take  a  freight 
train  moving  8  mi.  240  rd.  in  1  hr.  40  min.? 

26.  If  the  interest  of  a  certain  sum  for  3  yr.  6  mo.,  at 
6%,  is  $266.70,  what  will  be  the  interest  of  a  sum  |  as 
large,  for  6  yr.  3  mo.,  at  10%? 

27.  A   certain   excavation   costs  $75.     What  would   be 
the  cost  of  an  excavation  20%  wider,  25^   deeper,  and 
50%  longer? 

ARTICLE  226. — Partnership. 

1.  Two  partners  put   in  $7500  and  $4500  ;    they  lose 
$1500;  how  should  this  loss  be  apportioned? 

2.  A's  capital  was  $850;  B's,  $750.     At  the  end  of  one 
year  they  have  $2000;  how  should  it  be  divided? 

3.  A  contributes  $90;  B,  $80;  C,  $130;  they  lose  $210; 
what  is  the  loss  of  each? 

4.  Divide  3948  into  2  parts,  which   shall   be   to  each 
other  as  3  to  4. 

5.  Divide  3948  into  2  parts,  which   shall   be  to  each 
other  as  1  to  \. 

6.  Divide  3948  into  3  parts,  which   shall  be  to  each 
other  as  3,  4,  and  5. 

7.  Divide  3948  into  3  parts,  which  shall  be  to  each 
other  as  ^,  ^,  and  \. 

8.  Divide  19.56  into  2  parts,  which   shall  be  to  each 
other  as  7.9  and  8.4. 

9.  Divide  3.925  into   2   parts,  which   shall  be  to  each 
other  as  28  and  -£%. 


142  RAY'S  NEW  TEST  EXAMPLES. 

10.  A  has  60  A.  120  sq.  rd. ;  B,  81  A.     They  join  these 
for  a  pasture,  for  use  of  which  they  receive  $75.60;    how 
should  this  be  divided? 

11.  A   father  left   his  three  sons  the  following  sums: 
$750,  $675,  and  $375;  but  his  property  amounts  to  only 
$1440;  how  should  this  be  divided? 

12.  A  society  of  55  musicians  charter  a  ear  for  $44,  to 
carry    them    to    Columbus.      If   they    receive    a    second 
society  of  33  to  go  with  them,  how  should  the  expense 
be  divided? 

13.  A's  lot  is  80  ft.  front;  B's,  75  ft,;  C's,  100  ft.;  D's, 
55  ft. ;  and  E's,  85  ft.     How  much  should  each  contribute, 
to  raise  $50,  to  pay  for  watering  the  street? 

ARTICLE  227. — Bankruptcy. 

1.  A   bankrupt   owes   $46000;    his   property  sells  for 
$20470,  and  the  expenses  are  $1150  ;  how  much  will  he 
pay  on  the  dollar? 

2.  A   bankrupt's  assets  are  $16800,  his  liabilities  are 
$55000,  and  the  expenses  of  settlement  are  $2500;    how 
much  will  he  pay  on  the  dollar? 

3.  A   speculator  fails,   owing    $250000;    the    assignee 
sells  his  real  estate  for  $23000,  and  his  personal  property 
for   $18000,   and   charges   $3500   for  fees  and   expenses; 
what  will  a  creditor  receive  for  a  claim  of  $940  ? 


ARTICLE  228. —  General  Average. 

1.  A  ship  is  valued  at  $63000;  and  its  cargo,  at  $32000; 
what  will  be  the  general  average  on  a  loss  of  $1140? 

2.  A  shipped  300  barrels  of  flour;  B,  240;  and  C,  100 
barrels  ;    160    barrels  were  lost  in  a  storm.     How  nuK'h 
of  this  loss  will  fall  on  each? 


PROPORTION.  143 

3.  Goods  valued  at  $800  were  thrown  overboard  from 
a  ship  valued  as  $10000,  with  a  cargo  valued  at  $15600: 
how   much   will   A    lose,    his   shipment   being  valued   at 
$800? 

4.  A   ship  is  valued   at    $40000;    and    the   cargo,   at 
$35600.     During  a  storm,  A's  shipment,  valued  at  $1890, 
is  washed  overboard;   how  much  will  he  receive  for  it? 

ARTICLE  229. — Partnership  with  Time. 

1.  A  invested  $400  for  4  mo. ;  B,  $600  for  6  mo.  ;  how 
should  they  divide  the  $780  gained? 

2.  A  and   B  were  to  receive  $152.10   for  removing  a 
bank  of  earth.     A  furnished  10  carts  8  days;  and  B,  12 
carts  6  days.     How  much  should  each  receive? 

3.  A  arid  B  each  put  in  $1000  at  the  beginning  of  the 
year,  but  at   the  end  of  6  mo.  A  took  out  $500;    they 
gained  $2310  during  the  year.     How  should  it  be  divided? 

4.  A  put  in   $500   for  4  mo.;    B,  $600  for  3  mo.;  C, 
$250  for  4  mo.;    they  lose  $576.     What  will  be  the  loss 
of  each? 

5.  A  and  B  were  in  partnership  4  mo.     A  had  $2000 
in  the  whole  time;  B  put  in  $1000  at  the  beginning  of 
each    month ;    the   gain   was   $414.     How    should    it    be 
divided? 

6.  A  pastured  30  cows  7  mo. ;  B,  50  cows  9  mo. ;  the 
expense  was  $217.80;     How  should  it  be  divided? 

7.  A  commenced  business  with  $3000  ;  6  months  after, 
B  joined  him  with  $3600  ;   4  years  from  commencement, 
they   had   gained   $4305.     What  was  the  share  of  each? 

8.  A  and  B  were  partners  for  10  mo.     A  put  in  $700 
at  first,  and  two  months  afterward  $200  more  ;  B  put  in 
$500   at   first,   and   three   months  afterward   $500   more. 
A's  loss  was  $215  ;  what  was  B's  loss? 


144  KAY'S  NEW  TEST  EXAMPLES. 


ARTICLE  230. — Equation  of  Payments. 

Find  the  average  time  in  the  following  : 

1.  $600,  due  in  3  mo.;  $400,  in  5  mo.;  and  $500,  due 
in  2  mo. 

2.  $750,  in  3  mo. ;  $750,  in  5  mo. ;  and  $750,  in  7  mo. 

3.  $30,  in  8  mo.  ;   $20,  in  4  mo.  ;  and  $40,  in  10  mo. 

4.  $60,  due  now;  $60,  in  3  mo.;  and  $60,  in  9  mo. 

5.  $700,  due  now  ;  $500,  in  10  da.;  and  $700,  in  20  da. 

6.  $60,  due  in  60  da. ;  $90,  in  90  da. ;  and  $60,  due  in 
120  da. 

7.  $200,  due  in  4  da.;  and  $5000,  due  in  30  da. 

8.  $70,  due  in  7  da.;    $80,  due  in  8  da.;  and  $90,  in 
9  da. 

9.  Bought  goods  as  follows:  May  7,  $10  ;  May  9,  $15; 
May  20,  $34.     Find  the  equated  time. 

10.  Bought  $420   worth    of  goods:    1    seventh   cash,  2 
sevenths  in  7  mo.,  balance  in  14  mo.     Find  the  equated 
time 

11.  Bought  the  following  bills:  July  17,  $300;  Aug.  26, 
$700.     Find  the  equated  time. 

12.  Bought:    April   13,   $400;    May    1,   $550;    May   7, 
$350  ;  May  14,  $700.     Find  the  equated  time. 

13.  Bought:    Aug.    7,   $300;    Aug.    28,   $900;    Sept.   7, 
$900;  Sept.  28,  $300.     Find  the  equated  time. 

14.  Bought:  March  5,  $500;   April  1,  $400;  April  14, 
$200;  May  1,  $600.     Find  the  equated  time. 

15.  $700  was  due  Jan.  1  ;  $900,  May  1  ;  and  $400,  July 
1.     Find  the  equated  time. 

16.  Bought  goods  as  follows:   May  19,  1884,  at  6  mo., 
$1360;  June  12,  1884,  at  4  mo.,  $2168;  July  25,  1884,  at 
6   mo.,  $988;    Aug.  3,  1884,  at  4  mo.,   $1650.     Find  the 
equated  time. 


PROPORTION.  145 


ARTICLE  232. — Average. 

Find  the  average  of  the  following  : 

1.  15  Ib.  of  sugar,  at  9  ct.  a  Ib.  ;  and  10  lb.,  at  14  ct. 
a  lb. 

2.  10  oz.  of  gold,  at  $18^-  an  oz.  ;  and  20  oz.  of  silver, 
at  1)5  ct.  an  oz. 

3.  15  lb.  of  honey,  at  $.40  a  lb.;  and  10  lb.  of  sugar, 
at  5  ct.  a  lb. 

4.  30  gal.  of  wine,  at  $2.22  a  gal.,  diluted  with  7  gal. 
of  water. 

5.  7  gal.  of  alcohol,  at  $2.40  a  gal. ;  2  qt.  of  whisky, 
at  15  ct.  a  qt. ;  and  2  gal.  of  water. 

6.  A  man  walked  2  mi.  in  20  min.35  sec.,  and  then  4^ 
mi.  in  40  min.  30  sec. ;  find  the  average  time  for  1  mile. 

7.  The  barometer,  at  5   observations,  stood  29.81   in., 
29.87  in.,  29.83  in.,  29.91  in.,  and  29.93  in.;  what  was  the 
average  height? 

8.  In  a  regiment,  230  men  averaged  5  ft.  4  in. ;   280 
averaged  5  ft.  8  in. ;  and  205  averaged  5  ft.  9  in.     What 
was  the  average  height? 

9.  A  steamer  went  13  mi.  160  rd.  per  hour,  for  7  hr. ; 
and  then  12  mi.  30  rd.  per  hour,  for  11  hr.     What  was 
the  average  speed? 

10.  13  members  of  a  council  were  present  at  11  meet- 
ings, 2  at  12,  2  at  14,  and  3  at  15  ;  what  was  the  average 
number  of  meetings  attended   by  each  of  the  20  mem- 
bers? 

11.  What  was  the  average  number  of  members  presen 
at  each  of  the  15  meetings? 

12.  In  a  dwelling,  3  floors  are  each  15  by  17  ft.;  3  are 
14  by  18  ft. ;  and  3  are  19  by  24  ft.     What  is  the  average 
surface  ? 

R.  T.  E.— 10. 


146 


KAY'S  NEW  TEST  EXAMPLES. 


INVOLUTION. 


ARTICLE  234. 


Find  the  following : 

1.  Second   power  of  81. 

2.  Third  power  of  32. 

3.  Fourth   power  of  25. 

4.  Fifth  power  of  3.1. 

5.  Second  power  of  69.3. 


Find  the  square  of: 

11.  309. 

12.  54.03. 

13.  60f. 

Find  the  cube  of: 

20.  36. 

21.  125. 

22.  105. 


14.  if 

15.  lif 

16.  151 


23.  13|. 

24.  19.1. 

25.  347. 


6.  Third  power  of  5.5. 

7.  Fourth   power  of  61. 

8.  Third  power  of  16TV 

9.  Second  power  of  991. 
10.  Sixth  power  of  l\. 


17.  30£. 

18.  63V 

19.  44^. 


26.  «. 

27.  10.4. 

28.  10. 


Find  the  fourth  power  of: 


29.  91. 

30.  6.2. 

31.  101 


32.  331 

33.  8.4. 

34.  28. 


Find  the  fifth  power  of: 
38.  11.1.  |     39.  27f. 

Reduce  the  following  : 

41.  223. 

42.  16.52. 


43.  (17*)*. 

44.  19.1s. 


35.  if- 

36.  151 

37.  3f 


40.  105. 


45. 
46. 


EVOLUTION. 


147 


EVOLUTION. 

ARTICLE  238. — Square  Root. 


Find  the  square  root  of : 


1.  144. 
2.  1444. 

10.  1.21. 
11.  15.21. 

19.  50^. 
20.  8  °  ?  £-. 

3  7744. 

12.  10609. 

21.  12f 

4.  625. 

13.  9409. 

22.  1000. 

5.  5625. 
6.  15625. 

14.  576. 
15.  5476. 

23.  54, 
24.  16.1. 

7.  30625. 
8.  50625. 
9.  180625. 

16.  96^. 
17.  215f 
18.  1235^- 

25.  257. 
26.  25.7. 
27.  12.09. 

ARTICLE  239. — Square  Root  by  Factoring. 


Find,  by  factoring,  the  square  root  of: 


1.  1225. 

2.  2304. 

3.  4096. 


4.  11025. 

5.  5184. 

6.  18225. 


7.  50  X  450. 

8.  125  X  H25. 

9.  125.44. 


ARTICLE  240. — Applications  of  Square  Root. 

1.  The  base  of  a  right-angled  triangle  is  60;  perpen- 
dicular, 45  ;    find  the  hypotenuse. 

2.  The  hypotenuse  is  41  ft. ;  the  base,  40  ft.  ;  find  the 
perpendicular. 

3.  A  ladder  53  ft.  long  reaches  a  window  45  ft.  from 
the  ground  ;  how  far  is  the  foot  of  the  ladder  from  the 
bottom  of  the  wall? 

4.  A  well  is  63  ft.  deep  and  16  ft.  wide  ;  what  is  the 
length   of  the  longest  pole  that  can  be  placed   entirely 
within  the  well? 


148  KAY'S  NEW  TEST  EXAMPLES. 

5.  A  mast,  77  ft.  high,  stands  in  the  middle  of  ship  72 
ft.   wide  ;    how   long  is  the   rope   ladder  from  the  ship's 
side  to  the  mast-head? 

6.  A   tree,    72   ft.    high,   is   broken    20    ft.    from    the 
ground;  how  far  from  the  foot  will  the  top  reach? 

7.  A  pole,  45  ft.  high,  stands  in  the  center  of  a  circular 
ring  56  ft.  in  diameter;  what  is  the  length  of  the  rope 
from  the  top  of  the  pole  to  the  edge  of  the  ring? 

8.  A  rope,  73  ft.  long,  reaches  from  the  edge  of  a  ring 
to  the  top  of  a  center  pole  55  ft.  high  ;  how  wide  is  the 
ring? 

9.  Base  and   perpendicular  each   60   ft.;    how  long  is 
the  hypotenuse? 

10.  If  the  hands  of  a  clock  were  3  in.  and  4  in.  long, 
how  far  apart  would  the  points  be  at  3  o'clock? 

11.  A  boy  is  due  south   from   his  home   144  mi.;    he 
travels  due  west  165  mf. ;  how  far  is  he  then  from  home? 

12.  A  stream  is  120  feet  wide  ;  how  long  must  a  bridge 
b«,  if  it  rises  in  the  center   11    feet  above  its  height  at 
the  end  piers? 

13.  Hypotenuse,  80  ft.;  base  and  perpendicular  equal; 
find  them. 

14.  A  is  60  mi.  north  of  B,  and  70  mi.  west  of  C  ;  how 
far  apart  are  B  and  C? 

15.  If  Cleveland  is  225  mi.  further  north  than  Cincin- 
nati, and  120  mi.  further  east,  how  far  apart  are  the  two 
cities? 

ARTICLE  241. 

1.  A  square  farm  contains  360  A.  ;    how  long   is   it? 

2.  A    field    is    12    rd.    square ;    what    is   the   side   of 
another  square  field  containing  1  sq.  rd.  more  than  twice 
as  much  as  the  first? 


EVOLUTION. 


149 


3.  A  farmer  has  a  field   87   rd.  square,  which  he  ex- 
changed even   with   his  neighbor  for  two  square  fields, 
one  63  rd.  long;  how  long  was  the  other? 

4.  How  much  more  fence  will  be  required  for  a  field 
80  rd.  long  and  20  rd.  wide,  than  for  a  square  field  of 
equal  area? 

5.  Find  the  side  of  a   square   field  equal  to  4  fields 
5  rd.,  12  rd.,  84  rd.,  and  3612  rd.  square. 

6.  There  are  3  square  fields:  the  first  is  120  rd.  sq.; 
the  second  contains  3^  ;  and  the  third,  5^  as  much  land 
as  the  first.     What  is  the  difference  in  the  length  of  the 
two  latter  fields? 


ARTICLE  244.  —  Cube  Root. 


Find  the  cube  root  of: 

1.  13824. 

2.  79507. 

3.  250047. 

4.  405224. 

13.  3. 

14.  300. 

15.  .009663597. 

16.  .000002146689. 
17. 


5.  314432. 

6.  59319. 

7.  8615125. 

8.  135005697. 

18.  .4. 

19.  .04. 

20.  .004. 

21.  592T8, 

22.  f . 


9.  746142643. 

10.  620650.477. 

11.  282.300411). 

12.  .030664297. 


ARTICLE  245. 

1.  What  is  the  side  of  a  cubical  box  which  contains  7 
cu.  ft.  71  cu.  in.? 

2.  What  is  the  side  of  a  cubical  tank  which  contains 
2744  cu.  ft.? 

3.  How  many  cubical   blocks,  3  in.  long,  can   be  cut 
from  a  cubical  block  15  in.  long? 


150  RAY'S  NEW  TEST  EXAMPLES. 

4.  How  many  cubical    blocks,  ^  in.  long,  can  be  cut 
from  a  cubical  block  15  in.  long? 

5.  What  is  the  side  of  a  cube  which  weighs  12-|-%   as 
much  as  a  cube  11  in.  in  diameter? 

6.  What  is  the  side  of  a  cube  which  contains  2  cu.  ft.? 


MENSURATION. 
ARTICLE  247. — Areas  of  Parallelograms. 

Find  the  surface  of: 

1.  A  pavement,  20  yd.  long  and  6  ft.  9  in.  wide. 

2.  A  meadow,  f  mi.  long  and  40  rd.  wide. 

3.  A  floor,  18  ft.  9  in.  long  and  13  ft.  4  in.  wide. 

4.  A  canal,  45  mi.  long  and  30  ft.  3  in.  wide. 

5.  A  park,  990  ft.  by  440  ft. 

6.  A  pasture,  20  ch.  by  16  ch. 

7.  A  wall,  8  ft.  high  and  30  yd.  long. 

8.  A  canvas,  5.4  in.  by  7.5  m. 

9.  A  roof,  each  side  being  16  ft.  6  in.  by  40  ft. 

10.  A  street,  2  mi.  240  rd.  long  and  66  ft,  wide. 

11.  How  many  bricks,  4  in.  by  8  in.,  will  be  required 
for  a  pavement  40  ft.  by  8  ft.? 

12.  How  many  acres  in  a  field  120  rd.  square? 

13.  How  many  yards  of  carpet,  f  yd.  wide,  will  be  re- 
quired for  a  floor  15  by  18  ft.  ? 

14.  A  floor,  16  ft.  long,  requires  24  sq.  yd.  of  carpet ; 
how  wide  is  the  floor? 

15.  A  man   has  a  lot    54   yd.   long   and   24  yd.  wide, 
which   he  exchanged  for  a  square  lot  of  equal  surface  ; 
how  much  more  fence  would  the  first  lot  require  than 
the  last? 


MENSURATION.  151 


ARTICLE  248. — Area  of  Trapezoid. 

1.  A  sky-light  is  20  ft,  long,  and  the  two  ends  are  17 
ft.  and  10  ft.   wide  ;  what  is  the  surface? 

2.  Find  the  surface  of  a  field  in  the  form  of  a  trape- 
zoid,  the  parallel  sides  being  73  rd.  and  35  rd.,  and  lying 
32  rd.  apart. 

3.  A  lot  is  bounded  by  four  streets:  two  of  these  are 
parallel,  and  measure  70  ft.  and  90  ft.  along  the  lot,  and 
are  135  ft.  apart;  what  is  the  surface  of  the  lot? 

ARTICLE  249. — Area  of  Triangles. 

Find  the  area  of: 

1.  A  triangle,  40  ft.  long  and  20  ft.  high. 

2.  A  triangle,  96  yd.  long  and  55  ft.  high. 

3.  A  triangle,  10  ft.  8  in.  long  and   6   ft.  9  in.  high. 
Find  the  area  of  a  right-angled  triangle: 

4.  The  base,  80  ft. ;  perpendicular,  60  ft. 

5.  The  base,  60  ft;  perpendicular,  80  ft. 

6.  The  base,  88  rd. ;  perpendicular,  25  rd. 
Find  the  area  of  the  following  triangles : 

7.  The  sides  are  51  yd.,  68  yd.,  and  85  yd. 

8.  The  sides  are  51  yd.,  52  yd.,  and  53  yd. 

9.  The  sides  are  52  rd.,  56  rd.,  and  60  rd. 

ARTICLE  250. — Area  of  Trapezia. 

1.  Find  the  area  of  a  trapezium,  one  diagonal  being 
120  rd.,  and  the  perpendiculars  to  the  diagonal  from  the 
opposite  angles  being  45  rd.  and  55  rd. 

2.  Diagonal  measures  70  ft.,  and  the  two  perpendicu- 
lars on  the  diagonal,  30  ft.  and  40  ft.;  find  the  area  of 
the  trapezium. 


152  RAY'S   NEW  TEST  EXAMPLES. 

3.  A  man  has  a  four-sided  lot:  the  line  between  two 
opposite  corners  is  132  ft.  long,  and   the   other  corners 
are  88  ft.  and  110  ft.  perpendicularly  distant  from  that 
line ;   find  the  area. 

4.  Diagonal,    100    rd. ;    perpendiculars    on    it    from 
opposite  corners,  50  rd.  and  70  rd.  ;  find  the  value  of  the 
trapezium,  at  $960  per  acre. 

ARTICLE  251. — Diameter   and    Circumference   of  a    Circle. 

1.  Diameter,  20  ft. ;  find  the  circumference. 

2.  Circumference,  20  ft. ;  find  the  diameter. 

3.  Radius,  26  ft. ;  find  the  circumference. 

4.  The  diameter  of  a  circular  plat  is  90  feet ;  what  is 
the  length  of  the  fence  around  it? 

5.  What  is  the  thickness  of  a  tree,  if  it  measures  4  ft. 
8  in.  around? 

6.  What  is  the  distance  across  a  circular  field,  if  it  is 
170  rd.  around  it? 

7.  What  is  the  distance  around  a  circular  field,  if  it  is 
170  rd.  across  it? 

8.  What   length   of   tyre   would   be  required   for   the 
wheels  of  a  wagon,  the  front  ones  being   5   ft.  4  in.  in 
diameter,  and  the  hind  ones  5  ft.  11  in.  in  diameter? 

ARTICLE  252. — Area  of  a  Circle. 

Find  the  area  of: 

1.  A  circle  whose  radius  is  25  ft. 

2.  A  circle  whose  diameter  is  20  ft.  10  in. 

3.  A  circle  whose  diameter  is  3^  in. 

4.  A  man    lays  out  a  lawn  with  a  rope  60  ft.  long, 
fastened  to  a  stake  at  the  center ;  how  much  land  in  the 
lawn  ? 


MENSURATION.  153 

5.  What  is  the  diameter  of  a  circle  that  is  equal  to  a 
square  whose  side  is  30  ft.? 

6.  What  is  the  side  of  a  square   that  is  equal   to  a 
circle  whose  diameter  is  30  ft.? 

7.  A  lot,  120  feet  in  diameter,  has  a  gravel  walk  20 
feet  wide  just  within  its  circumference  ;  what  is  the  sur- 
face of  the  grass  plat  inside  the  gravel  walk? 

8.  A  lot,  18  rd.  in  diameter,  has  around  its  center  a 
grass  plat  12  rd.  in  diameter  ;    what  is  the  area  of  the 
paved  ring  covering  the  rest  of  the  lot? 

MENSURATION  OF  SOLIDS. 
ARTICLE  254. — Surface  of  Prism  or  Cylinder. 

1.  Find    the    surface   of    a   right   prism   16   ft.    high, 
standing  on  a  triangular  base  whose  sides  are  6  ft.,  8  ft., 
and  10  ft. 

2.  Find  the  surface  of  a  rectangular  prism  4  ft.  high, 
standing  on  a  base  2  ft.  square. 

3.  Find  the  surface  of  a  rectangular  prism  2  ft.  high, 
standing  on  a  base  4  ft.  square. 

4.  Find    the  entire  surface  of  a  cylinder   10   ft.  high 
and  15  in.  in  diameter. 

5.  Find  the  convex  surface  of  a  cylinder  13  in.  high, 
with  a  radius  of  2  in. 

6.  Find  the  entire  surface  of  a  cylinder  13  ft.  2  in. 
high,  and  6  ft.  6.54  in.  in  circumference. 

ARTICLE  255. —  Volume  of  Prism  or  Cylinder. 

1.  How  many  cu.  in.  in  a  prism  10  in.  high,  on  a  base 
2  in.  square? 

2.  How  many  cu.  in.  in  a  prism  2  in.  high,  on  a  base 
10  in.  square? 


154  RAY'S  NEW  TEST  EXAMPLES. 

3.  Find  the  volume  of  a  flag-stone  10  ft.  long,  3  ft.  9 
in.  wide,  and  8  in.  thick. 

4.  A  sill  is  40   ft.  long  and   9   in.   wide  ;    how  thick 
must  it  be  to  contain  25  cu.  ft.? 

5.  Find  the  volume  of  a  cylinder  20  in.  high,  whose 
circumference  is  39.27  in. 

6.  A  cylinder  10  in.  in  diameter  contains   19G3^   cu. 
in.;  what  is  its  height? 


ARTICLE  256. — Surface  of  Pyramid  or  Cone. 

1.  Find   the  convex  surface  of   a  right  pyramid,  the 
base  being  18  in.  square,  and  the  slant  height  4  ft. 

2.  Find   the  convex  surface  of  a  cone,  the  radius  of 
the  base  being  6  in.,  and  the  slant  height  8  in. 

3.  Find  the  entire  surface  of  a  cone,  the  diameter  of 
the  base  being  20  in.,  and  the  slant  height  40  in. 

4.  Find  the  entire  surface  of  a  cone,  the  diameter  of 
the  base  being  40  in.,  and  the  slant  height  20  in. 


ARTICLE  257. —  Volume  of  Pyramid  or  Cone. 

1.  Find  the  volume  of   a    pyramid   48   ft.  high,  on  a 
base  18  in.  square. 

2.  The  height  of  a  pyramid  is  8  ft.,  and  the  base  is  a 
triangle   whose    sides    are    6,   8,    and    10    in.;    find    the 
volume. 

3.  Find  the  volume  of  a  cone  whose  altitude  is  20  ft., 
and  the  diameter  of  the  base  4  ft. 

4.  Find  the  volume  of  a  cone,  the  altitude  being  12 
ft.,  and  the  radius  of  the  base  being  3  ft.  4  in. 

5.  i'he  altitude  of  a  cone  is  2  ft.,  and  the  circumfer- 
ence of  the  base  is  2  ft. ;   find  the  volume. 


MENSURATION.  155 


ARTICLE  258.— Surface  of  a  Sphere. 

Find  the  surface  of: 

1.  A  sphere  whose  diameter  is  22  in. 

2.  A  sphere  whose  radius  is  4  ft. 

3.  A  planet  whose  diameter  is  2465  mi.,  supposing  it 
to  be  a  sphere. 

4.  If  a   base   ball   is   2-J-   in.  in  diameter,   how   much 
leather  will  be  required  to  cover  1600  balls,  adding  10^ 
for  waste? 

ARTICLE  259. —  Volume  of  a  Sphere. 

Find  the  volume  of  : 

1.  A  sphere  8  ft.  2  in.  in  diameter. 

2.  A  globe  whose  radius  is  20  in. 

3.  A  planet  whose  diameter  is  2240  miles,  supposing 
it  to  be  a  sphere. 

4.  Find  the  weight  of  500  cannon-balls,  each  2  ft.  in 
diameter,  a  cubic  foot  of  iron  weighing  430  Ib. 

ARTICLE  260. — Applications  of  Mensuration. 

1.  What  will  it  cost  to  sod  a  yard  40  ft,  by  32  ft.,  at 
11  ct.  a  sq.  yd.? 

2.  A  room  is  18  ft.  long,  15  ft.  wide,  and  10  ft.  high: 
what  will  the  plastering  cost,  at  5  ct.  a  sq.  yd.,  deduct- 
ing 1  opening,  6  ft.  square;  2  openings,  3  ft.  6  in.  by  8 
ft.;   and  3  openings,  4  ft.  by  7  ft.  6  in.? 

3.  What  will   it  cost  to  paint  both  sides  of  a  fence 
78  ft.  long  and  5  ft,  6  in.  high,  at  14  ct.  a  sq.  yd.? 

4.  A  fish  pond,  80  ft.  in  diameter,  is  surrounded  by  a 
tight  fence  5  ft.  10^-  in.  high  ;  what  will  it  cost  to  paint 
that  fence,  at  15  ct.  a  sq.  yd.? 


156  KAY'S  NEW  TEST  EXAMPLES. 

5.  A  museum  room  is  70  ft.  long,  40  ft.  wide,  and  22 
ft.  high;  what  will  it  cost  to  paint  the  walls  and  ceiling 
at  29   ct.  a  sq.  yd.,  deducting  1  sky-light,  14  ft.  sq.  ;    4 
doors,  5  ft.  3  in.   by  10  ft.;  and  12  windows,  6  by  9  ft.? 

6.  What  will  it  cost  to  plaster  a  concert  hall  100  ft. 
long,  70  ft.  wide,  and   26   ft.  high,  at   22^  ct.  a  sq.  yd.; 
deducting  8  openings,  8  by  12  ft.,  and  3  openings,  7  by 
14  ft.? 

ARTICLE  261. — Board  Measure. 

1.  How  many  feet   in  an  inch  board  20  ft.  long  and 
9  in.  wide? 

2.  How  many  feet  in  a  3  in.  plank  16  ft.  long  and  14 
in.  wide? 

3.  How  many  feet   in  a  sill  30  ft.  long,  10  in.  wide, 
and  5  in.  deep? 

4.  One  sixth  of  the  thickness  being  lost   in  sawing, 
how  many  feet  of  2  in.  plank  can  be  made  from  a  stick 
2  ft.  square  and  20  ft.  long? 

5.  One  third  of  the  thickness   being  lost  in  sawing, 
how  many  feet  of  -J-  in.  boards  can  be  made  from  a  stick 
2  ft.  square  and  14  ft.  long.     (All  boards  less  than  1  in. 
thick  are  counted  and  measured  as  if  1  in.  in  thickness.) 

6.  How  many  feet  in  a  plank  2  in.  thick,  which  is  18 
ft.  long,  16  in.  wide  at  one  end,  and  10  in.  wide  at  the 
other  end  ? 

ARTICLE  262. — Masons'  and  Bricklayers'  Work. 

1,  How  many  perches  in  a  pile  of  stone  450  ft.  long, 
440  ft.  wide,  and  4  ft.  high? 

2.  A  cellar  is  9  ft.  deep,  39  ft.  long,  and  24  ft.  wide 
inside  :  if  the  walls  are  18  in.  thick,  how  many  perches 
of  stone  will  they  require? 


MENSURATION.  157 

3.  A  cellar  is  10  ft.  deep,  48  ft.  long,  arid  19  ft.  wide, 
measuring  the  outside  ;    the  walls  are  2  ft.  thick  ;   what 
will  the  stone  cost,  at  $4.12^  a  perch? 

4.  A  pile  of  stone  is  in  the  form  of  a  cone,  45  ft.  in 
diameter   at   the   bottom,   and    17    ft.    high;    what    is    it 
worth,  at  $1.75  a  perch? 

5.  How  many  bricks  in  a  wall  160  ft.  long,  7  ft.  high, 
and  2  ft.  thick,  allowing  20  bricks  to  1  cu.  ft.  ? 

6.  The  bricks  in  a  wall  are  9  in.  by  4  in.,  and  2-J  in. 
thick  ;    what  will  they  cost,  at  $7.50  per  1000,  the  wall 
being  72  ft.  long,  12  ft.  6  in.  high,  and  2  ft.  6  in.  thick? 

ARTICLE  263. — Measurement  by  Bushels  or  Gallons. 

1.  How  many  bushels  in  a  bin  16  ft.  long,  10  ft.  6  in. 
high,  and  4  ft.  4  in.  wide? 

2.  How  many  bushels  in  a  crib  15  ft.  square  and  8  ft. 
high? 

3.  A  pit  is  10  ft.  square  and  28  in.  deep  ;  how  many 
bushels  of  potatoes  wrill  it  hold? 

4.  How  many  bushels  of  lime  can  be  made  in  a  kiln 
in  the  form  of  a  cone,  14  ft.  high,  the  diameter  of  the 
base  being  11  ft.  8  in.? 

5.  How  many  bushels  of  barley  can  be  put  in  a  cylin- 
drical tub  16  ft.  in  diameter  and  4  ft.  deep? 

6.  How  many  gallons  are  equal  in  volume  to  55  bu.  ? 

7.  How  many   bushels   are   equal   in    volume  to  1536 
gal.? 

8.  How  many  gallons  in  a  tank  7  ft.  in  diameter  and 
11  ft.  deep? 

9.  How  many  barrels  (31^-  gal.  each)  in  a  reservoir 
63  ft.  square  and  5  ft.  6  in.  deep? 

10.  A  cistern  is  made  8  ft.  4  in.  in  diameter  and  11  ft. 
deep;  what  will  it  cost,  at  80  ct.  a  barrel? 


158  RAY'S  NEW  TEST  EXAMPLES. 

PROGRESSIONS. 

ARTICLE  265. — Arithmetical  Progression.     Case  I. 

1.  The  first  term  is  770;  the  common  difference,  10; 
what  would  be  the  20th  term  of  an  increasing  series? 

2.  The  first  term  is  770;  the  common  difference,  10; 
what  would  be  the  20th  term  of  a  decreasing  series? 

3.  A  new  house  rents  for  $900  per  year  ;  if  the  rent 
is  reduced  $30  each  year,  what  will  be  the  rent  the  15th 
year? 

4.  The  houses  on  an  avenue  are  numbered  regularly, 
beginning  with  720  ;  what  will  be  the  number  of  the  63d 
house? 

5.  If  lots,  20  ft.  wide,  are  numbered  in  regular  order 
along  a  line,  how  far  will  the  36th  lot  be  from  the  start- 
ing point? 

6.  What  is  the  100th  term  of  a  decreasing  series,  the 
1st  term  being  .004,  and  the  common  difference  .000004? 

ARTICLE  266. — Case  II. 

1.  The  extremes  are  7  and  70;  the  number  of  terms, 
10  ;  find  the  common  difference. 

2.  The  1st  term  is  18;    the  8th  term,  900;    find    the 
common  difference. 

3.  The   extremes    are   1    and    1000 ;    the    number    of 
terms,  28  ;    find  the  common  difference. 

4.  If  boys  are  paid  according  to  their  ages,  and  a  boy 
13  years  old  earns   $3.70  a  week,  while  a  boy  19  years 
old   earns    $7.30  a  week,  how  much  is  the   increase  for 
each  year? 

5.  The  1st  term  is  721  ;   the  12th  term,  127;   find  the 
common  difference. 


PROGRESSIONS.  159 


ARTICLE  267. —  Case  III. 

1.  The  extremes  are  4  and  80;  the  number  of  terms. 
20  ;  find  the  sum  of  the  series. 

2.  A  man  earned  $370  the  first  year,  and  his  salary 
was  regularly  increased,  so  that  in  the  9th  year  he  re- 
ceived $1130;  what  were  his  total  earnings  in  9  yr.  ? 

3.  The  extremes  are  6  and   100,  and   the  number  of 
terms  10  ;  find  the  sum  of  the  series. 

4.  Extremes,  10  and  100;    number  of  terms,  6;    what 
is  the  sum  of  the  series? 

5.  The  1st  term  is  450 ;    common  difference,  7  ;  what 
is  the  sum  of  10  terms  of  an  increasing  series? 

6.  The  1st  term  is  450;    common  difference,  7;  what 
is  the  sum  of  10  terms  of  a  decreasing  series? 

7.  The  15th  term  of  an  increasing  series  is  972;   the 
common    difference,    9;    what    is    the    sum    of    the    15 
terms? 

8.  The  1st  term  is  11  ;  the  8th  term,  67;  what  is  the 
sum  of  the  series,  there  being  12  terms? 


ARTICLE  269. —  Geometrical  Progression.     Case  I. 

1.  The  1st  term  of  an  increasing  geometric  series  is 
5;  the  ratio,  3;  what  is  the  fourth  term? 

2.  The  1st  term  of  an  increasing  geometric  series  is 
3 ;  the  ratio,  5 ;  find  the  fourth  term. 

3.  The  1st   term  of  a   decreasing  geometric  series  is 
6 ;  the  ratio,  2  ;  find  the  fifth  term. 

4.  The  1st  term  of  a  decreasing  geometric  series  is  2; 
the  ratio,  6;    what  is  the  fifth  term? 

5.  What  is  the  8th  term  of   an  increasing  geometric 
series,  the  first  term  being  40,  and  the  ratio  3? 


160  RAY'S  NEW  TEST  EXAMPLES. 


ARTICLE  270. — Case  II. 

1.  Find  the  sum  of  10  terms  of  the  series  whose  first 
term  is  6,  and  ratio  2,  the  series  being  increasing. 

2.  Find  the  sum  of  8  terms  of  the  geometric  series 
3,  6,  etc. 

3.  Find  the  sum  of  8  terms  of  the  geometric  series 
6,  2,  etc. 

4.  Find  the  sum  of  the  infinite  decreasing  series,  of 
which  the  first  term  is  f,  and  ratio  £. 

5.  Find    the    sum    of   the    infinite    geometric    series 
3,  2,  etc. 

6.  Find    the    sum    of   the    infinite    geometric    series, 
whose  first  term  is  .148,  and  ratio  1000. 


MISCELLANEOUS  EXAMPLES. 


1.  Reduce  -Jff-f-ff  to  its  lowest  terms. 

2.  What  is  27%%  of  f  ? 

3.  What  is  the  value  of  the  ratio,  2%  pk.  :  4  bu.? 

4.  What  is  the  interest  of  $745.20  for  2  yr.  7  mo.  6 
da.,  at  5%? 

5.  What  cost  6  bu.  6  qt.  of  cherries,  at  60  ct.  a  peck? 

6.  What  is  the  equated  time  of  the  following:   $750, 
in  34  da.;  $800,  in  40  da.;  and  $950  in  50  da.? 

7.  An  agent  sent  the  owner  $804.20  for  rent  of  house 
28  months,  retaining  5^  commission  and  $47  expenses  ; 
what  was  the  monthly  rent? 

8.  How  much  would  be  received  for  24  bu.  3  pk.  of 
peaches,  packed  in  baskets  containing  2  pk.  6  qt.  each, 
and  sold  at  $1.70  per  basket? 

9.  What  will  be  the  proceeds  of  a  note  of  $475,  dated 
May  29,  1860,  at  90  da.,  and  discounted  in  bank  July  1, 
at  41^? 

10.  What  will  be  the  cost  of  a  pile  of  wood  8.5  m. 
long,  6.8  m.  wide,  and  3.2  m.  high,  at  19  fr.  per  stere? 

11.  What  cost  420  boards  16  ft.  long,  9  in.  wide,  and 
1  in.  thick,  at  31  ct.  per  ft.? 

12.  If  51  yd.  cost  $421,  what  will  81  yd.  cost? 

13.  What  cost  7707  Ib.  of  wheat,  at  $1.20  per  bu.? 

14.  Find   the   convex   surface   of  a   cone   whose   slant 
height  is  16  ft,  and  base  12  in.  in  diameter. 

15.  What  is  the  present  worth  of  a  debt  of  $320,  due 
in  7  yr.,  money  being  worth  4%  ? 

R.  T.  E.-li.  .  (161) 


031 

v 


1G2  KAY'S  NEW  TEST  EXAMPLES. 

16.  A  has  275  bu.  wheat ;  B,  405  bu.  corn ;  C,  205  bu. 
oats  ;   what  would  be  the  contents  of  the  largest  basket 
with  which  each  one   could  exactly  measure  his  grain? 

17.  A  cistern  is  4  ft.  in  diameter,  and  3  ft.  deep;  what 
will  it  cost  to  line  it  with  sheet    lead  weighing  5  Ib.  to 
the  square  foot,  and  costing  13  ct.  per  Ib.  ? 

18.  What  would  be  the  amount  of  $333.33,  at  interest 
3  yr.  3  mo.  3  da.,  at  3^%? 

19.  What  cost  7381  Ib.  of  hay,  at  $17.50  per  ton? 

20.  I  invested   $16170  in  bonds,  at  5%  premium,  and 
sold  at  8%  premium  ;  find  my  gain. 

21.  In  14  meters,  how  many  yards? 

22.  What  principal,  in  2  yr.  8  mo.,  at  7|%,  will  earn 
$69.68  interest? 

23.  At  7  ct.  a  yd.,  what  will  a  strip  of  canvas  cost,  ex- 
tending along  the  four  fences  of  a  lot  42  rd.  square? 

24.  Invested    $23100    in    bonds,   at   5%    premium,   and 
sold  at  5%  advance;  find  my  gain. 

25.  A  invested  $5400   for  7  mo.;    B,  $5600  for  9  mo.; 
they  gained  $546.     Divide  it. 

26.  Find  the  cost  of  a  lot  100  rd.  sq.,  at  $100  per  A. 

27.  Keduce  ,  _!,  — 5   to    fractions    having    the    least 

15     6      5 

common  denominator. 

28.  A  debt  of  $420  will  be  due  in  5  yr. ;  what  should 
be  the  discount  for  cash,  if  money  is  worth  4%  ? 

29.  The  first   term  of  an  increasing   arithmetical   pro- 
gression  is    735 ;    the    common    difference,    4^ ;    find   the 
119th  term. 

30.  Find    the  value   of  a  cubical    pile  of  wood  14  ft. 
long,  at  $2.40  a  cord. 

31.  A  vat  is   11    ft.   long,   7  ft.  wide,  and   9  in.  deep; 
what  is  its  capacity  in  gallons? 

32.  In  21  Ha.  how  many  acres? 


MISCELLANEOUS  EXAMPLES.  163 

33.  A  man  bought  stock  at  22^  discount,  and  sold  it 
at  4%   premium  ;  what  °/0  did  he  gain? 

34.  If  8  drivers  receive  $16.20  for  0  trips,  of  1  hr.  30 
min.  each,  how  much   should   12   drivers   receive   for   10 
trips,  of  2  hr.  each? 

35.  18  is  what  %  of  33£? 

36.  Hcduco  11111111  sq.  in.  to  A. 

37.  What  is  the  square  root  of  5313025? 

38.  A   fly-wheel   is   10   ft.  in   diameter;   what  distance 
does    a   point   in   the  circumference  move  in    16   revolu- 
tions? 

39.  After  22%  of  my  flock  died,  I  had  273  remaining; 
how  many  died? 

40.  How  many  bushels  in  a  box  3  ft.  long,  28  in.  wide, 
and  16  in.  deep? 

41.  How  many  minutes  in  the  first  four  months  of  the 
year  1888? 

42.  Find  the  area  of  a  triangle  whose  base  is  4  rd., 
and  height  4  yd. 

43.  What  cost  1040  pwt.  of  silver,  worth  91 J  ct.  per  oz.? 

44.  If  a  sidewalk,  1  mi.  120  ft.  long,  cost  $487.60,  what 
will  one  90  rd.  long  cost? 

45.  A    note    for    $940,   dated    Jan.    23,    payable    in    3 
months,  was  discounted  in  bank  March  20,  at  5%  ;  what 
was  the  discount? 

46.  What   cost   56   three-inch   planks,  30  ft.  long  and 
12  in.  wide,  at  2  ct.  per  foot? 

47.  What  is  the  least  quantity  of  iron  that  would  make 
an  exact  number  of  25  Ib.  balls,  or  30  Ib.  plates,  or  35  Ib. 
bars,  without  remainder  in  either  case? 

48.  What  debt,   due   in   6  years,  is   now   worth   $375, 
money  being  worth  5%? 

49.  What  %  would  be  lost  by  buying  an  article 
above  its  value,  and  selling  it  10%   below  its  value? 


164  RAY'S  NEW  TEST  EXAMPLES. 

50.  In  50  kilograms  how  many  pounds? 

51.  AVhat  would  be  the  compound  interest  of  $300  for 
4  yr,  at  &%  ? 

52.  How  many  bushels  of   cranberries   can  be  bought 
for  $39.90,  at  10  ct.  5  m.  a  pt.? 

53.  A   foundry   building   and   patterns   are   valued   at 
$18000;    what  would  be  the  premium  for  insuring  f  of 
this  value,  at  \\%1 

54.  Find  the  side  of  a  cubical   box   that  will  hold  as 
much  as  another  box  80  in.  long,  75  in.  wide,  and  1  yd. 
high  (inside  measures). 

55.  What  cost  49.3  meters  of  broadcloth,  at  17  francs 
per  meter? 

56.  A  steamer  is  worth  $105000,  and  a  man  sells  f  of 
his    interest  for   $14700  ;    what  part  of  the  ship  did   he 
own? 

57.  A   man   gained    5%    the   first  year,  and    8%    the 
second  year,  at  the  end  of  which  he  was  worth  $15876; 
what  capital  had  he  at  first? 

58.  How  many  hours  per  day  must  42  men  work,  for 
8  da.,  to  do  as  much  as  56  men  can  do  in  6  da.,  of  9  hr. 
each? 

59.  A  debt  having  run  4  yr.  6  mo.,  at  8%,  the  interest 
was  $44.10;    what  was  the  amount? 

60.  What  cost  7000  qt.  bags  of   salt,  at  36  ct.  a  bu.? 

61.  At  16|  ct.  per  doz.,  how  many  lemons  can  I  buy 
for  $50? 

62.  How  many  bushels  will  a  bin  hold,  if  it  costs  $189 
more  to  fill  it  with  wheat,  at  SI. 05  a  bu.,  than  with  corn, 
at  60  ct.  a  bu.? 

63.  What  is  the   equated   time  of  the   following  pur- 
chases: June  25,  $470;  July  3,  $720;  Aug.  1,  $860? 

64.  Find  the  entire  surface  of  a  cone,  the  slant  height 
being  20  in.,  and  the  diameter  of  the  base  10  in. 


MISCELLANEOUS    EXAMPLES.  165 

17  14    21      7 

65.  Eeduce  — i  —  >  — ?  -      to    least    common    deriomi- 

18  15    3J-    10 

nator. 

66.  A  bottle  of  wine  contains  1  pt,  3  gi. ;    how  many 
dozen  bottles  can  be  filled    from   a    tierce  containing  42 
gal.  of  wine? 

67.  A    note    is   given    May    15,    1885,   for   $500,    with 
interest  at   6%,   payable   annually;    no   interest   having 
been  paid,  what  is  due  May  15,  1890? 

68.  If  I  sell  -|  of  an  article  for  what  -fa  of  it  cost,  what 
^  do  I  gain  or  lose? 

69.  A  square   field   containing  2^  A.  is  enclosed   by  a 
close  fence  6  ft.  high;   what  did  the  fence  cost,  at  2  ct. 
per   sq.  ft.? 

70.  In  40  yd.,  how  many  meters? 

71.  What  is  the  fifth  term  of  the  increasing  geometrical 
progression,  whose  first  term  is  7,  and  ratio  3? 

72.  Add  all    the  odd  numbers  below  25,  and  find  the 
square  root  of  the  sum. 

73.  What  cost  7  T.  14  cwt.  67  Ib.  of  Muscovado  sugar, 
at  4f  ct.  per  Ib.? 

74.  An  agent  kept  $560  commission  on  sales,  and  sent 
his  principal  $15440;  what  was  his  rate   %   commission? 

75.  Find    the  weight   of  8    doz.   boxes   of  fruit,  each 
weighing  15.4  Kg. 

76.  What  must  I  mark  cloth  that  cost  $8  a  }^ard,  so 
that  I  can  deduct  20^   and  still  gain  20%? 

77.  What  cost  a  sight  draft  on  New  Orleans  for  $2370, 
at  -^%  discount? 

78.  I   bought   brandy  at  $1.25  per  gal.;    33|^    leaked 
out;  at  what  rate  per  gal.  must  I  sell  the  remainder  to 
gain  33^%? 

79.  What   cost   10000   feet  of  canvas  cloth,  at  18f  ct. 
per  yd.? 


16C  RAY'S   NEW   TEST   EXAMPLES. 

80.  A  contributed  $7500;  B,  $5700;   they  gain  $3872; 
how  should  they  divide  it? 

81.  A  sum  of   money  was  borrowed  May  22,  1884,  at 
4^,   and  $661.38  was   paid   in    full   Jan.    5,    1890;    how 
muoh  of  this  was  interest? 

82.  Keduce  ^f-§y  to  its  lowest  terms. 

83.  What  will  be  the  cost  of  a  sight  draft  on  Phila- 
delphia for  $1700,  at  \%  premium? 

84.  How  many  times  will  a  wagon  wheel,  18  ft.  4  in. 
in  circumference,  revolve  in  going  4  miles? 

85.  How  much  will  the  ground  cost  on  which  a  man 
can  raisa  728  bu.  of  potatoes,  if  each  bu.  requires  1^  sq. 
rd.,  and  land  costs  $7.50  per  A,? 

86.  Invested  $7840  in  bonds,  at  2%   discount,  and  sold 
at  4%  advance;    find  my  gain. 

87.  How  many  perches  in  a  wall   55   yd.  long,  15  ft. 
high,  and  3  ft,  3  in,  thick? 

88.  What  is  the  largest  measure  that  could  be  used  to 
measure  out  81  gal.,  120  gal.,  and  150  gal.? 

89.  A   horse  is  fastened  by  a  rope,  60  ft.  long,  to  a 
stake  in  the  center  of  a  field  ;    over  what  space  can  he 
graze  ? 

90.  The  first  term  of  a   decreasing  arithmetical    pro- 
gression  is   873;    the   common    difference.   2^;    find    the 
200th  term. 

91.  How  many  cords  in  a  pile  of  wood  56  ft.  3  in.  long, 
53  ft.  4  in.  wide,  and  5  ft.  4  in.  high? 

92.  "Find  the  hypotenuse  of  a  right-angled  triangle,  the 
other  sides  being  90  and  56. 

93.  What  is  the  solidity  of  a  globe  whose  diameter  is 
12  in.? 

94.  What  will  it  cost  to  plaster  a  wall  for  blackboard 
use,  it   being  11  ft.  3  in.  by  5  ft.  4  in.,  the  price  being 
50  ct.  per  sq.  yd.? 


MISCELLANEOUS  EXAMPLES.  167 

95.  What  is  \%  of  I? 

96.  If  27  oxen  require  33  A.  120  sq.  rd.  of  pasture, 
how  much  will  13  oxen  require? 

97.  At  If  ^  premium,  what  must  be  paid  for  insuring 
|  of  the  value  of  a  house  worth  $7200? 

98.  Bought  stock  at  12%   discount,  and   sold  at  9^ 
advance  ;  what  %  did  I  gain  ? 

99.  At  $1.94  a  cu.  1.,  what  must  be  paid  for  a  granite 
block  28  in.  long,  27  in.  wide,  and  32  in.  high? 

100.  An    agent    bought    cotton    for    a    manufacturer, 
charging   ±%    commission;    the    total    bill    was    $17487; 
what  was  the  agent's  commission? 

101.  Find  the  value  of  the   stamps   required    for    75 
boxes  of  cigars,  containing  100  each,  the  taxes  being  $3 
per  thousand. 

102.  Reduce  .50625  to  a  common  fraction. 

103.  What  sum  at  interest  3  yr.  6  mo.  20  da.,  at 
will  amount  to  $532.40? 

104.  What  cost  41  gal.  1  gi.  of  brandy,  at  $5  per  gal.? 

105.  Invested  $7840  in  bonds,  at  2^g  discount,  and  sold 
them  at  4^J   decline;  find  my  Joss. 

106.  What  will  it  cost  to  plaster  a  room  18  ft.  long,  15 
ft.  wide,  and  12  ft.  high,  at  18  ct.  per  sq.  yd.,  deducting 
2  openings,   each  4  ft.  by  8  ft. ;  and  2  others,  each  3^  ft. 
by  8i  ft.? 

107.  What  will  be  the  cost  of  a  sight  draft  on  Chicago 
for  $847.30,  at  \%   premium? 

108.  What    would    be    the    largest    baskets    in    which 
either  350  bu.  1  pk.  of  peaches,  or  250  bu.  2  pk.  of  plums 
could  be  packed  without  leaving  any  remainder  in  either 
case? 

109.  Find  the  convex  surface  of   a  cylinder  20  in.  in 
diameter  and  40  in.  long. 

110.  In   50  gallons  how  many  liters? 


108  RAY'S  NEW  TEST  EXAMPLES. 

111.  In  what  time  time  will  any  principal  double  itself 
at  3^^?_ 

112.  Find  the  surface  of  a  sphere,  the  diameter  being 
14  in. 

113.  What  cost   125  T.  7  cwt.   9   Ib.  of  coal,  at  $4.50 
per  T.? 

114.  What  is  the  diameter  of  a  circle  containing  3  A.? 

115.  A  man  realizes  $1800  per  annum  on  $24000;  what 
is  his  rate  of  gain  ? 

116.  How  many  medals,  each  weighing  3.3  Dg.,  can  be 
made  from  2442  Kg.  of  silver? 

117.  What  is  the  difference  between  the  square  of  625 
and  the  square  root  of  625? 

118.  How  many  acres  in  a  square  iield  enclosed  with  6 
miles  of  fence? 

119.  What  cost  1000000  in.  of  twine,  at  4  m.  per  rd.? 

120.  A  note  dated  Aug.  21,  at  90  da.,  was  discounted 
in  bank  Oct.  29,  at  7^,  and  $2612.75  given  for  it;  find 
the  face  of  the  note. 

121.  A  co-operative  company  has  15000  shares,  of  $50 
each;  A  holds  73  shares;  what  will  be  his  assessment  for 
a  loss  of  $7920  by  fire? 

122.  Received  $51.51  interest  on  a  loan  of  $367.20,  at 
5%;    how  long  had  it  been  loaned? 

123.  Eeduce  |ff||  to  its  lowest  terms. 

124.  If  a  stream  flows  3  mi.  20  rd.  in  1  hr.  4  min.,  ho\^ 
far  will  it  flow  in  3  hr.  44  min.? 

125.  How  many  perches  in  a  breakwater  800  yd.  long, 
11  yd.  high,  and  5  yd.,  thick? 

126.  What  must  be  paid  for  a  fence  around  a  lot  60  rd. 
square,  the  fence    being   made  of  four  horizontal  strips, 
each  9  in.  wide,  and  costing  1^  ct.  per  sq.  ft.? 

127.  What  is  the  ratio  of  7.36  to  7|? 

128.  5    +  4    +  7    +  a     =  ? 


MISCELLANEOUS  EXAMPLES.  169 

129.  Imported   50   casks  of  brandy,   45  gal.   each,  in- 
voiced at  10  fr.  per  gal.     (SI  =  5.18  fr.)     Find  the  duty, 
at  $2  per  gal.  and  50%   ad  valorem. 

130.  What  must  be  paid  for  5  sills,  each  40  ft.  long,  8 
in.   wide,  and  9  in.   high,  at  GO  ct.  a  cu.  ft.? 

131.  What  will  it  cost  to  fresco  the  ceiling  of  a  room 
3G    ft.  long  and  22  ft.  3  in.  wide,  at  50  ct.  per  sq.  yd.? 

132.  6£  is  what  %  of  1000? 

133.  Find   the  volume  of  a  sphere  whose  diameter  is 
44  in. 

134.  What  is  the  compound  interest  of  $500,  for  4  yr., 
at  8^? 

135.  What  as  the  least   number   of  books  that  would 
make  an  exact  number  of  either  scores  or  gross? 

136.  If  a  man  walks  4^  miles  in  1  hr.,  how  far  can  he 
walk  in  5120  sec.? 

137.  A   debt,  due   in   5  years,  was  discounted   at   7%, 
$420  being  taken  off;  what  was  the  face  of  the  note? 

138.  How  much  grain  must  I  take  to  mill,  to  have  154 
bushels  after  the  miller  has  taken  out  his  toll  of  4  qt.  to 
the  bu.? 

139.  Find  the  base  of  a  right-angled  triangle,  the  hy- 
potenuse being  117,  and  the  perpendicular  45. 

140.  A  bill  of  exchange  on  London  for  £86  8  s.,  cost 
$420.12  ;  what  was  the  rate  of  exchange? 

141.  A  man  sold  520  sheep,  and  had  35%  of  the  flock 
remaining;   how  many  had  he  at  first? 

142.  If  4  men,  in  6  da.,  dig  a  cellar  45  ft.  long,  1G  ft. 
wide,  and  9  ft.  deep,  how  many  men  will  be  required  to 
dig  a  cellar  75  ft.  long,  18  ft.  wide,  and   12  ft.  deep,  in  3 
days  ? 

143.  Keduce  50000  minutes  to  weeks. 

144.  A's  money  is   65%   more   than   B's,  and   together 
they  have  $54325:   how  much   has 'each? 


170  RAY'S  NEW  TEST   EXAMPLES. 

145.  $552.96   was   loaned  July  21,  1810,   at  4|-%,  and 
$666.56  was  paid  on  settlement ;  find  the  date  of  settle- 
ment. 

146.  What  is  the  diameter  of  a  circle  containing  785  A. 
64  sq.  rd.? 

147.  How  deep  mast  a  box  be  made,  to  hold  90  bu.,  if 
it  is  7  ft.  long  and  6  ft.   wide? 

148.  If  35  castings  weigh  48  T.  4  cwt.  25  lb.,  what  is 
the  weight  of  each? 

149.  Consequent,  22|;   ratio,  If;    find  antecedent. 

150.  24%  of  my  land  is  in  corn,  leaving  266  A.  other- 
wise planted;   how  much  is  cultivated? 

151.  What  cost  an  abutment  66  ft.  long,  22|   ft.  high, 
and  4  ft.  thick,  at  $2.25  a  perch? 

152.  Money  loaned  at  4£%,  and  $709.20  paid,  of  which 
$69.20  was  interest;  how  long  was  it  loaned? 

153.  What  cost  475  gal.  3  qt,  1  pt.  of  molasses,  at  18 
ct.  a  qt.? 

154.  If  800  men,  in   30   da.,  can  build   a  pier  240  ft. 
long,  8  ft.  thick,  and  12  ft.  high,  how  long  must  240  men 
be  employed  to  build  a  pier  360  ft.  long,  10  ft.  thick,  and 
8  ft.  high? 

155.  What  would   be  the  equated   time  of  paying  the 
following  bills:  May  5,  $230,  at  6  mo.;  June  1,  $250,  at 
4  mo.;    July    5,  $320,  at  5  mo.;    Aug.  1,  $420,  at  3  mo. 

156.  Bought  lemons  5^  below  quotations,  sold  them  at 
10%    above    quotations,    and   gained   $24    on    40    boxes; 
what  was  the  price  per  box  ? 

157.  A  has  350  eggs;  B,  525;   C,  280  ;  they  have  boxes 
made,  in  which  each  can  exactly  pack  his  eggs;    if  the 
boxes  are  the  largest  possible,  how  many  eggs  will  < 
hold? 

158.  What  cost  a  farm  180  meters  square,  at   7000   i 
per  Ha.? 


MISCELLANEOUS   EXAMPLES.  171 

159.  What  cost  a  sight  draft  on  Charleston  for  $950,  at 
1%   discount? 

160.  What  cost  4  cwt.   59   Ib.  7  oz.  of   beef,  at  13  ct. 
a  Ib.? 

161.  Find  the  solidity  of  a  sphere  whose  radius  is  11  in. 

162.  The  time  past  noon  is  y1^-  of  the  time  to  midnight; 
what  is  the  time? 

163.  A  man  had  450  A.  of  land,  and  sold  162  A. ;  what 
%  of  his  farm  has  he  still? 

164.  What  will  it  cost  to  pave  a  circular  court  80  ft.  in 
diameter,  at  55  ct.  a  sq.  yd.? 

165.  The  last   term  of  a  decreasing  arithmetical  pro- 
gression of  19  terms  is  999;  common  difference,  7;  find 
the  sum  of    the  terms. 

166.  Keduce  \\  bu.  to  integers. 

167.  A  debt  was  paid  8  yr.  before  due,  and  $420   de- 
ducted, at  7%  discount;  how  much  was  the  debt? 

168.  What  cost  4355  gal.  1  pt.  2  gi.  of  ink,  at  70  ct. 
per  gal.? 

169.  A  note  dated   May  19,  at  90  da.,  was  discounted 
June  15,  at  4^,  and  $2.31  deducted;  what  was  the  face 
of  the  note? 

170.  I   invested   $7840  in  bonds,  at  2%  discount,  and 
sold  them  at  4%   premium  ;   find  my  gain. 

171.  At  10  fr.  per  meter,  how  many  kilometers  of  cloth 
can  be  bought  for  100000  fr.? 

172.  Divide  1  of  |  by  1  of  |  . 

173.  What  date  4  mo.  20  da.  after  Dec.  11,  1885? 

174.  If  a  man  can  walk  3  mi.  240  rd.  in  1   hr.  12  min., 
far  can   he  walk  in  2  hr.  48  min.? 

175.  A    note   is   given    June   10,    1870,    for   $480,   with 

at   5%,  payable  semi-annually ;    interest  having 
<!   for  two  years,  what  is  due  Aug.  25,  1876? 


172  RAY'S   NEW   TEST   EXAMPLES. 

176.  An  agent  bought  wool  at  37  ct.  per  lb.;  commis- 
sion, \J0  ;  expenses,  $97.20  ;  the  total  cost  to  the  princi- 
pal, $8000.03;    how  many  pounds  were  bought? 

177.  3|  _|_  13|  +  23£  —  33|  ===  ? 

178.  At  what  rate  must  $450  be  loaned  for  2  yr.  2  mo. 
20  da.,  to  amount  to  $540? 

179.  How  many  panes  of  glass,  10  in.  by  16  in.,  are  in 
a  half-box  containing  50  sq.  ft.? 

180.  The   base    and    perpendicular    of   a    right-angled 
triangle  are  each  58  ;  find  the  hypotenuse. 

181.  A  man  lost  14%   of   his  weight  by  sickness,  and 
then  weighed  129  lb. ;   how  much  had  he  lost? 

182.  A  rectangle  15  ft.  wide  contains"  10  sq.  rd. ;  how 
long  is  it? 

183.  The   longitude   of  one   place    is    20°    10'   E.  ;    of 
another,  70°  20'  W.     When  it  is  1  o'clock  P.  M.  at  the 
former  place,  what  is  the  time  at  the  latter? 

184.  The  stamps  on  letters  are  2  cents  for  every  half- 
ounce  or  fraction  thereof;  what  will  stamps  cost  for  730 
letters,  each  weighing  1^  oz.  ? 

185.  A  box  is  8  dm.  high  and  62.5  cm.  wide;  how  long 
must  it  be  to  contain  1  m3? 

186.  A  invests  $5000  Jan.  1,  and  draws  out  $1000  May 
1 ;  B  invests  $4000  Jan.  1,  and  puts  in  $1000  more  May 
1;    July    1,    they    dissolve,    having    gained    $1350;    how 
should  the  gain  be  divided? 

187.  What  cost  4  T.  9   cwt.  of  cheese,  at  12  ct.  4  m. 
per  lb.? 

188.  A    mill   is   valued   at   $28000  ;  the  stock,  $36000  ; 
what  would  be  the  cost  of  insuring  |-  of  the  value  of  the 
mill  at  \\%,  and  f  of  the  value  of  the  stock  at  H%  ? 

189.  A  note  $4800,  dated  June  23,  1846,  payable  in  90 
da.,  was  discounted    at    6%,   and    $23.20  was  taken 
when  was  it  discounted? 


MISCELLANEOUS   EXAMPLES.  173 

190.  What  cost  a  30-day  draft  on  New  York  for  $2517, 
exchange  being  \<fa   premium? 

191.  A    note   given   June   7,   1888,  for  $600,  with  9% 
interest,  was  endorsed  as  follows:  Dec.  5,  1888,  $25  ;  July 
20,    1880,    $95.45;    May    7,    1890,    $20;    June    20,    1890, 
$139.60.     What  was  due  May  7,  1892? 

192.  What  will  it  cost  to  paper  the  walls  of  a  room  20 
ft.  long,  14  ft.  wide,  and  12  ft.  high,  at  22  ct.  per  sq.  yd., 
no  allowance  being  made  for  openings? 

193.  How  long  will  it  take  a  man  to  walk  990000  in., 
if  he  can  walk  a  mile  in  16  min.? 

194.  What  sum  at  compound  interest  for  2  yr.,  at  6^, 
will  amount  to  $842.70? 

195.  What  cost  450  boards,  12  in.  long,  3  in.  wide,  and 
|  in.  thick,  at  4  ct.  per  ft.?     (Count  all  boards  thinner 
than  1  in.  the  same  as  if  1  in.  thick.) 

196.  28%  of  the  pupils  enrolled  in  a  school  withdrew, 
and  1224  remained  ;  how  many  withdrew  ? 

197.  A  note  of  $5040,  dated  May  23,  1856,  payable  in 
60    da.,    was    discounted    at    5%,    the    proceeds    being 
$5013.40;  when  was  it  discounted? 

171 

198.  Eeduce  — -  to  a  decimal. 

199.  The  antecedent  is  10  hr.  40  min.  ;  the  ratio,  5^  ; 
find  the  consequent. 

200.  A  lot  is  80  rd.  sq.,  and  worth  $560;  what  would 
it  be  worth,  if  a  strip  4  rd.  wide  is  taken  off  all  around 
the  outside? 

201.  What  cost  a  60-day  draft  on   San  Francisco  for 
$3913.25  ;    exchange,  \°f0   premium,  reckoning  money  at 

*%i 

202.  A    coin    is   2   centimeters  in    diameter;    how   far 
would    800    such    coins    extend    if    laid    in    a    straight 
line? 


174  KAY'S  NEW  TEST  EXAMPLES. 

203.  $500  was  borrowed  Jan.  1,  at  6%,  and  $100  was 
paid  on  the  first  day  of  each  of  the  next  four  months. 
What  was  due  July  1? 

204.  What  must  be  paid  for  insuring  a  hotel  building 
and  furniture :    the  house,  valued   at  $130000  ;    and  J\ir- 
niture,  at  $74000  ;  both  insured  at  f  %  on  three  fourths 
of  the  valuation? 

205.  A  ship's  chronometer  is  set  to   Greenwich  time; 
in  what  longitude  will  the  ship  be  when  the  chronometer 
is  9  hr.  10  min.  fast? 

206.  A  sum  at  interest  for  3  yr.  5  mo.  18  da.,  amounted 
to  $95.80,  of  which  $20.80  was  interest;  find  the  rate  %. 

207.  What  would  be  the  equated  time  of  the  following 
purchases:    July  1,  $140;    July  8,  $150;    July  15,  $160; 
July  22,  $170;  July  29,  $180;  and  Aug.  5,  $190? 

208.  How  many  octavo  books,  of  240  pages  each,  can 
be  printed  on  100  reams  of  paper? 

209.  If  a  dairy  furnishes  2631  gal.  1  qt.  of  milk  in  3 
wk.  4  da.,  how  much  would  that  be  for  4  wk.  3  da,? 

210.  Bought  60  $100  bonds  at  5%  discount,  and  sold 
at  5%   profit;    find  my  gain. 

211.  5  C.  23  cu.  ft.  is  what  fraction  of  34  cu.  yd.? 

212.  A  field  is  40  rd.  square;  what  is  the  distance  be- 
tween opposite  corners? 

213.  A  put  into  the  firm  $7500,  for  11  mo.;   B,  $6600 
for  10  mo.  ;    on  closing  business,  they  had  $12615;    how 
much  would  each  lose  ? 

214.  A  pillar,  8  ft.  3  in  square,  cost  $519.75,  at  $3.15  a 
perch;  how  high  was  it? 

215.  The  assessment  for  paving  a  street  being  $2.0592 
per  foot,  what  must  A  pay,  whose  lot  extends  along  that 
street  3  rd.  5  ft,  8.03  in.? 

216.  A  debt  of  $900  is  due  in  2  yr.  6  mon.;    th 
count   for   paying  now    is    $150;    what  rate   %  is  i: 


MISCELLANEOUS   EXAMPLES.  175 

217.  Find    the  surface  of   a  sphere  whose  radius  is  13 
inches. 

218.  .Reduce  -jjJJ|-f  to  its  lowest  terms. 

219.  Find  the  solidity  of  a  prism  20  ft.  high,  standing 
on  u  base  4  ft.  C  in.  square. 

220.  Bought  stock  at  6^£  discount,  and  sold  it  at  5% 
gain  ;  at  what  rate  did  I  sell  it? 

221.  What  date  is  3  mo.  22  da.  before  June  22,  1873? 

222.  What  sum,  at  compound   interest  for  3  years,  at 
5%,  will  amount  to  $926.10? 

223.  A  field  GO  rd.  long  contains  15  A.;    what  would 
the  fence  cost,  at  30  ct.  a  rod? 

224.  How  many  coins,  weighing  5  g.  each,  can  be  made 
from  1  quintal  of  bronze? 

225.  $31.50  was  deducted  from  a  note  having  3  yr.  9 
mo.  to  run,  leaving  the  present  worth  $140  ;    what  was 
the  rate  %? 

226.  How  much  would  be  realized    from  a  lot  10  rd. 
long  and  7  rd.  wide,  sold  for  graves,  the  graves  being  7 
ft.  long  and  2  ft.  G  in.  wide,  and  costing  $4.50? 

227.  What  cost  a  bill  of  exchange  on  London  for  £138 
15  s.,  exchange  at  $4.84? 

228.  Find   the  total   surface   of  a   cylinder    30    in.   in 
diameter  and  50  in.  long. 

229.  A  bankrupt  owes  A  $500,  and  B  $360,  and  pays 
A  $77  more  than  B  ;  how  much  does  he  pay  each? 

230.  A  horse  is  fastened    to   a   fence  by  a  rope  90   ft. 
long;  over  what  space  can  he  graze? 

231.  Reduce  .065625  to  a  common   fraction. 

232.  The  list  price  is  96  ct.  per  gross,  with  20,  25,  and 
37.^  off;  what  is  the  cost  per  gross? 

233.  A  fruit  seller  found  that  whether  he  counted  his 
pine-apples  by  4's,  5's,  6's,  or  8's,  there  was  no  remainder; 
what  was  the  least  number  he  could  have  had? 


176  BAY'S  NEW  TEST  EXAMPLES. 

234.  $480  was  loaned  for  5  yr.  15  da.,  and  $108.90  was 
received  for  interest ;  what  was  the  rate  %  ? 

235.  What  sum  would  be  received  for  2  g  2  9  of  medi- 
cine, made  in  5  gr.  pills,  sold  20  in  a  box,  at  25  ct.  per 
box? 

236.  An  agent  affects  an  exchange  of  a  house,  at  $4,600, 
for  a  farm,  the  owner  of  the  house  receiving  $1100  differ- 
ence; what  is  the  agent's  commission  on  the  two  pieces 
of  property,  at  \^0  ? 

237.  A  lot  lies  between  two  parallel  roads  1  mi.  apart ; 
it  is  90  rd.  on  one  road  and  75  rd.  on  the  other;  what  is 
the  lot  worth,  at  $80  an  acre? 

238.  44%    of  the   workmen    were   discharged,  and   98 
remain;  how  many  were  employed  at  first? 

239.  What  is  the  square  root  of  40? 

240.  The  hypotenuse  is  74  ft.,  and   the  base  and  per- 
pendicular are  equal;  how  long  is  the  base? 

241.  How   many   lots,  50   meters  long  and   10  meters 
wide,  can  be  made  from  50  Ha.  of  land? 

242.  A  crib   is  18   ft.  long  and  4  ft.  high  ;    how  wide 
must  it  be  to  contain  540  bu.? 

243.  Bought   125   bonds  ($100  each)  at  2%%  discount, 
and  sold  them  at  §\%  premium;  what  was  the  gain? 

244.  A  man  bought  40  sheep  the  first  year,  and  each 
succeeding  year  3  more  than  the  year  before;  how  many 
did  he  buy  in  6  years? 

245.  A  note  of  $5760,  dated  Oct.  19,  payable  in  60  da., 
was  discounted  Nov.  10,  and  $29.52  deducted;  find  the  rate. 

246.  A   note   is   given   Aug.    13,    1890,   for   $730,  with 
interest   at   9^,    payable   annually;    no   interest   having 
been  paid  after  the  first  year,  what  was  due  Dec.  6,  1893? 

247.  Eeduce  ff \  to  a  decimal. 

248.  The  list  price  is  $1.50  per  gross,  with  20  and  25 
off;  what  is  the  cost  per  gross? 


MISCELLANEOUS   EXAMPLES.  177 

249.  A  draft  on   Dublin  for  £7  3  s.  4  d.  cost  $34.83  ; 
what  was  the  rate  of  exchange? 

250.  Find  the  diameter  of  a  sphere  whose  solidity  is 
7238.2464  cu.  in. 

251.  A  put  in  $850;    B,  $680;    A's  gain  is  $150  more 
than  B's;  what  did  each  gain? 

252.  $560    was    loaned    Feb.    18,    1889,    at    9%,    and 
amounted  to  $770;   when  was  it  paid? 

253.  A  man  sent  an  agent  4010  barrels  of  pork  to  sell, 
and  invest  proceeds  in  wheat,  commission  \%    in   each 
case  ;  pork  sold  at  $8.80  per  bbl.,  and  wheat  cost  $1.33 
per  bu. ;  how  many  bu.  were  bought? 

254.  One  city  is  in  E.  longitude  40°  17' ;    another,  in 
W.  longitude  30°,  13';  if  a  man  travels  from  the  first  to 
the  second,  should  his  watch  gain  or  lose  time,  and  how 
much? 

255.  Bought  bonds  at  2%   discount,  and  sold  at  1-|% 
premium,  and  gained  $94.50;    what  was  the  par  value? 

256.  150  castings  weigh  17  T.  11  cwt. ;  find  the  weight 
of  each. 

257.  The  tax  levy  is  7.38  m.  on  the  dollar;   what  tax 
must  be  paid  on  $107524? 

258.  What  is  the  cube  root  of  the  square  of  4096? 

259.  What  is  the  area  of  a  square  field,  in  which  a  cir- 
cular track  containing  1256.64  A.  can  be  made? 

260.  What  debt,  due  in  3  mo.,  together  with  $800,  due 
in  9  mo.,  could  be  paid  in  7  mo.  without  loss  to  either? 

261.  A  man  insures  his  life  for  $16000  in  favor  of  his 
wife;  premium,  $29.47  per  $1000;    if  he  dies  during  the 

•inth  year  thereafter,  how  much  will  his  widow  receive 
in  excess  of  the  amount  paid  out? 

262.  A  put  in  $7000  for  6  mo. ;    B  put  in  $5000,  and 
received  -f^  of  the  profit;    how  long  was  his  money  in- 
vested ? 

R.  T.  E.— 12. 


178  RAY'S  NEW  TEST  EXAMPLES. 

263.  What  is  the  cube  of  .043? 

261  Divide  —  of  -^  by  -  of  -^- 

1G        7£     }  8         10£ 

265.  A  note  is  given  Aug.  18,  1884,  for  $840,  with  8% 
interest,  endorsed  as  follows  :  May  9,  1885,  $30.50  ;  Dee. 
15,  1885,  $238.54;  June  3,  1887,  $137.44.     What  was  due 
Oct.  20,  1888? 

266.  A  cistern  is  20   ft.  in  diameter  and  14  ft.   deep  ; 
how  many  barrels  (31^  gal.)  will  it  hold? 

267.  Find  the  diameter  of  a  sphere  whose  surface   is 
7854  sq.  in. 

268.  The  first  and  fourth  terms  of  a  proportion  are  38 
and  152,  and    the    second  and  third    terms  are  equal  to 
each  other;  find  them. 

269.  A  note  is  given  Oct.  31,  1883,  payable  in  4  mo.; 
when  is  it  legally  due? 

270.  The  sides  of  a  triangle  are  102,  104,  and  10G  ft.; 
find  the  area. 

271.  31  gal.  2  qt.  is  what  decimal  part  of  65  gal.  2  qt. 
1  pt.? 

272.  What  principal,   loaned   Nov.    18,   1880,  at  4£%, 
will  gain  $37.52  interest  on  settlement  Aug.  28,  1888? 

273.  Find  the  volume  of  a  column  30  ft.  high,  standing 
on  a  triangular  base,  whose  sides  are  3,  4,  and  5  ft. 

274.  l3£-4£  +  15f-7f  =  ? 

275.  What  will  be  the  cost  of  a  wall  440  ft.  long,  30  ft. 
high,  and  3  ft.  thick,  at  $3.30  per  perch,  if  a  wall  450  ft. 
long,  33  ft,  high,  and  4  ft.  thick,  cost  $9000,  at  $3.75  per 
perch  ? 

276.  At  what  rate  %  of  discount  will  a  debt  of  $413, 
due  in  4  yr.  6  mo.,  be  now  worth  $350? 

277.  A  field  is  40  rd.  by  100  rd. ;   what  would  be  the 
area  of  a  square  field  that  could  be  enclosed  with  the 
same  length  of  fence? 


MISCELLANEOUS  EXAMPLES.  179 

278.  Bought  stock   at   16%  discount,  and  sold  at  9% 
discount;   what  %   did  I  gain? 

279.  The  two  parallel  ends  of  a  lot  measure  15  rd.  and 
15  yd.,  and  are  500  ft.  apart;  find  the  area. 

280.  If  48  pencils  cost  SI,  how  many  can  be  sold  for 
$1  at  a  gain  of  20%  ? 

281.  What  cost  a  draft  on  Bordeaux  for  4827.3  fr.,  ex- 
change at  5.18  fr.? 

282.  Find  a  number   whose   square   is   contained   162 
times  in  20000. 

283.  The  slant  height  of  a  conical  hill  is  440  ft.,  and 
the  circumference  of  its  base  ^  mi.  ;  how  much  land  on 
its  sides? 

8-|     7     91  7 

284  Eeduce  — >  —  >  -j  and  —  to  the  least  common 

denominator. 

285.  Find   the  volume  of  a  cylindrical   log,  15   in.  in 
diameter  and  40  ft.  long. 

286.  If  each  of  the  four  sides  of  a  square  field  were 
20^   longer,  how  much  greater  would  be  the  surface  of 
the  field? 

287.  What  is  the  square  of  that  number  of  which  16  is 
the  cube  root? 

288.  A   and   B  were   in    partnership;   A's  capital   was 
$8400,  and  he  received  $720  out  of  $1500   profit;   what 
was  B's  capital? 

289.  If  a  field  of  15  A.  100  sq.  rd.  requires  18  bu.  3 
pk.  of  seed,  how  much  seed  would  be  needed  for  18  A. 
120  sq.  rd.? 

290.  What  sum  must  I  pay  for  a  house,  so  that  after 
spending  $50  for  repairs  I  can  gain  5%    by   selling  for 
$4830? 

291.  What  is  the  value  of  the  compound  ratio :  2£  bu. : 
3  pk.     15  men  :  25  men.     27  da.  :  6  da. 


180  RAY'S  NEW  TEST  EXAMPLES. 

292.  What  date  is  5  mo.  27  da.  before  May  27,  1885? 

293.  How  large  a  draft  on  London  can  be  bought  for 
$5000,  exchange  at  $4.87? 

294.  A  note  was  dated  Feb.  IB,  1866,  and  had  accumu- 
lated $21.84  on  settlement,  Sept.  19,  1867;  what  was  the 
amount  then  due? 

295.  A  could  plow  a  field  in  7  da.,  working  8  hr.  per 
da.  ;  B,  in  14  da.,  working  6  hr.  per  da.;  how  long  would 
it  require  both,  working  9  hr.  per  da.? 

296.  $5000  was  borrowed  July  1,  at  5%  ;  paid  July  28, 
$1000;    Sept.    10,   $800;    Oct.    9,   $850.     What    was    due 
Nov.  6? 

297.  A  tank  is  21  in.  sq.  ;  how  deep  must  it  be  to  con- 
tain 21  gal.? 

298.  After  losing  $2600,  A  and  B  dissolve  partnership, 
A  receiving  $25200  ;  B,  $11200  ;  how  much  had  each  at 
first? 

299.  Bought  bonds  at  4%  premium,  and  sold  at  a  de- 
cline of  \\%;  what  %  did  I  lose? 

300.  A  put  in  $7000  for  6  mo. ;    B  put  in  $5000,  and 
received  T5T  of  the  profit ;  how  long  was  B's  money  in- 
vested ? 

301.  A  ring,  100  ft,  in  diameter,  was  made  in  a  square 
field  100  ft.  long;    how  much  land  was  left  in  the  four 
corners  ? 

302.  A  man  has  goods  costing  him  $11200,  and  gained 
5%  by  selling  them  through  an  agent,  whose  commission 
was  2%  ;  what  did  the  agent  receive  as  commission? 

303.  If  10  horses  can  haul  50000  Ib.  2  mi.  in  4  hr.,  how 
many  horses  will  be  required  to  haul  70000  Ib.  5  mi.  in 
5  hr.? 

304.  A  debt  was   contracted  Jan.    19,  1888,  with  9^ 
interest ;   debt,   $375.     On   settlement,  $141   interest  was 
paid;  find  the  date  of  settlement. 


MISCELLANEOUS   EXAMPLES.  181 

305.  What  is  the  side  of  a  square  which  is  equal  to  a 
right-angled  triangle  whose  base  is  30  ft.  and  hypotenuse 
78  ft.? 

306.  Eeduce  A\¥A-  to  its  lowest  terms. 

i  o  o  y  &  n 

307.  What  is  the  cube  of  that  number  of  which  53  is 
the  square  root? 

308.  A  malt  tub  is  18  ft.  in  diameter  and  6  ft.  deep  ; 
how  many  gallons  will  it  contain? 

309.  A  note  at  60  days  was  discounted  July  13,  at  8%, 
and  $18.36  was  deducted  for  bank  discount,  and  $2411.64 
paid  the  holder;   what  was  the  date  of  the  note? 

310.  A  pile  of  stone  is  22  ft.  long  and  18  ft.  wide;  how 
high  must  it  be  to  contain  96  perches? 

311.  Take  the  cubes  of  all  the  even  numbers  under  20; 
add  them,  and  extract  the  square  root  of  half  the  sum. 

312.  The  tax  levy  being  23.64  m.  on  the  dollar,  what 
tax    must   a    man    pay,   whose   property   is   assessed    at 
$43246? 

313.  $512  was  loaned  at  1\%,  and  $228.80  interest  was 
due  April  7,  1886;  when  was  the  money  loaned? 

314.  The  fence  was  removed   from  a  square  field  con- 
taining 40  A. ;  what  would  be  the  area  of  a  field  20  rd. 
wide,  which  the  same  fence  would  exactly  inclose? 

315.  A   debt   of  $732   is   now   worth    $600,   reckoning 
money  at  8%  ;  how  long  before  it  is  due? 

316.  If  15  men  earn  $427.50  in  19  da.,  of  10  hr.  each, 
how  many  days,  of  8  hr.  each,  must  38  men  be  employed 
to  earn  $592.80? 

S17.  The  list  price  is  40  ct,  with  £  and  10  off;  what  is 
the  cost? 

318.  An  agent  bought,  for  a  capitalist,  ground  400  ft. 
along  a  street,  charging  2%  commission,  and  drawing  on 
his  principal  for  $18360  in  full;  what  was  the  price  per 
front  foot? 


182  RAY'S  NEW  TEST  EXAMPLES. 

319.  A  bin  is  6  ft.  wide  and  4  ft.  8  in.  high  ;  how  long 
must  it  be  to  contain  240  bu.  ? 

320.  A  note  of   $000,  with  interest  at  6%,  was   dated 
Nov.  13,  1870,  and  endorsed   as  follows:    July  10,  1871, 
§100  ;  May  7,  1872,  $100;  April  4,  1873,  $100.     What  was 
due  May  1,  1874? 

321.  I   sold    two   farms,   at   $1920   each;  on  the  first  I 
gained  20%,  and  on  the  second  lost  20^;  what  %  did  1 
gain  or  lose  on  the  two? 

322.  A  man  saved  $124  the  first  year,  and  each   suc- 
ceeding year  $11  more  than  the  year  before  ;  how  much 
did  he  save  in  20  yr.? 

323.  323f  —  138f  -f  217|  —  401£  =  ? 

324.  What    %    does   a  dealer  gain  who  buys  450   bu. 
apples,  at  60  ct.  a  bu.,  and  sells  them  at  24  ct.  a  pk.,  if  \ 
are  lost  by  spoiling? 

325.  The  list  price  was  72  ct.  per  gross,  with  20,  25, 
and  16f  off;  find  the  cost  per  gross. 

326.  I  paid  $75.60  for  insuring  -|  of  the  value  of  my 
factory,  at  -£%  ;  what  was  the  factory  worth? 

327.  A  square  field  contains   160  A.;    what  would  be 
the   area   of  a   circular   field   with   the   same   length    of 
fences? 

328.  When  it  is  6  hr.  3  min.  A.  M.  at  a  place  in  100° 
E.  long.,  what  is  the  time  at  a  place  in  40°  W.  long.? 

329.  Find   the   radius   of  a    sphere   whose    surface    is 
380.1336  sq.  in. 

330.  Find  the  cube  root  of  the  sum  of  the  cubes  of  27, 
36,  and  45. 

331.  At   li  ct.   a  sq.  ft.,  what  will   lumber  cost  for  a 
platform  200  ft.  long,  70  ft.  wide  at  one  end,  and  taper- 
ing to  40  ft.  at  the  other  end? 

332.  Money  loaned  Dec,  24,  1882,  at  3|%,  amounted  to 
$600.99,  June  6,  1887;    how  much  of   this  was  interest? 


MISCELLANEOUS  EXAMPLES.  183 

333,  An  arithmetical  progression  has  10  terms ;  the 
third  term  is  29,  and  the  seventh  73  ;  find  the  sum  of  the 
terms. 

331  The  sides  of  a  triangle  are  25-J-,  26,  and  26£  in.; 
what  is  the  surface? 

335.  A  log  is  20  in.  in  diameter;  how  long  must  it  be 
to  contain  1  C.  of  wood? 

336.  A  man  marks   his   goods  at  20%   above  cost;    in 
selling  at  wholesale  he  takes  off  10  and  5%  ;  what  is  his 
gain  ^,  at  wholesale? 

337.  If  a  man  walks  6  kilometers  in  an  hour,  how  far 
is  that  in  15  sec.? 

338.  By  selling  at  64  ct.  a  yd.,  twice  as  much  is  gained 
as  by  selling  at  57  ct.  ;  what  %   would  be  gained,  at  70 
ct.  a  yd.? 

339.  How  large  a  draft  on  Berlin  can   be  bought  for 
$500,  when  exchange  is  $.965  for  4  reichsmarks? 

340.  A  note,  due  June  6,  1879,  was  discounted  at  4%, 
the  discount  being  $69.60,  and  the  present  worth  $480  ; 
when  was  it  discounted? 

341.  What  number,  added  3  times  to  287T5^,  will  make 
the  sum  352-*-? 

342.  $700  was  borrowed  May  19,  at  7%.     There  were 
paid:  June  2,  $75;  June  20,  $100;  July  15,  $90;  Aug.  7, 
$120;  what  was  due  Sept.  7? 

343.  500  bolts,  each  containing  8  meters  of  ribbon,  cost 
560  fr. ;  how  much  would  375  dm.  cost  at  the  same  rate? 

344.  A  note  of  $1600,  dated  Sept.  17,  1888,  at  50  da., 
was  discounted  in  bank  Sept.  25,  1888,  and  $15  deducted; 
what  rate  %  was  that? 

345.  Bought  bonds  at  4%  discount,  and  sold  at  a  profit 
of  12|%  ;  at  what  premium  were  they  sold? 

346.  What  %  is  gained  by  selling  |  of  any  purchase 
for  what       of  it  cost? 


184  RAY'S  NEW  TEST  EXAMPLES. 

347.  Divide  31  Ib.  1  oz.  10  pwt.  by  120. 

348.  A  note  is  given  Dec.  12,  1879,  for  $1000,  with  in- 
terest at  6%,  endorsed  as  follows:  June  19,  1881,  $41.17; 
Dec.  6,  1881,  $177.83;    Aug.  21,  1882,  $138.25;    May  12, 
1883,  $30.17.     What  was  due  Oct.  15,  1884? 

349.  Bought  goods  at  20  and  10  off,  and  sold  them  at 
10  and  10  off;  what  ^   did  I  gain? 

350.  If  a  field  50  rd.  long  and   30   rd.  wide  produces 
27  bu.  of  w-heat,  what  will  a  field  75  rd.  long  and  60  rd. 
wide  produce  in  another  year  when  crops  are  greater  in 
the  proportion  of  7  :  6  ? 

61     3|     7  9 

351.  Keduce  — >  — ->  —  >  and  —  to  the   least  common 

6-f-    3T3T    8  14 

denominator. 

352.  In  10  T.  how  many  metric  tons? 

353.  Goods  were  sold  at  ^  and  10  off;  the  cost  was  30 
ct.  per  gross;  what  was  the  list  price  per  gross? 

354.  What  sum,  at  compound  interest  for  2  yr.  6  mo., 
at  10%,  will  amount  to  $431.97? 

355.  A  bill  of  exchange  on  Bordeaux  for  8600  fr.  cost 
$1694.20;  what  was  the  rate  of  exchange? 

356.  Two   men  exchanged   60-day  notes,  and  immedi- 
ately discounted  them  in  bank;  the  first,  at  6%,  receiv- 
ing $2572.70;    the  second,  at  5%;   what  did  he  receive? 

357.  What  is  the  difference  between  annual  and  com- 
pound interest  of  $10000  for  3  yr.,  at  10^  ? 

358.  A  pole  40  ft.  high  stands  in  the  center  of  a  circu- 
lar pond,  whose  area  is  314.16  sq.  yd.;  what  is  the  length 
of  a  line  from  the  top  of  the  pole  to  the  edge  of  the  pond? 

359.  The   discount,  at   6%,  on  a  debt  due  in  3  yr.,  is 
$20.16  ;  what  would  be  the  discount  on  it  16  mo.  before 
due,  at  9%? 

360.  The  square  of  a  certain  number  is  2209  ;  what  is 
the  fourth  power  of  the  same  number? 


MISCELLANEOUS   EXAMPLES.  185 

361.  Bought   at  40  and   5  off,  and  sold  at  40  off  the 
same  list;  what  %   did  I  gain? 

362.  Eeduce  liii  to  a  decimal. 

25i 

363.  Find   the   surface   of  a   sphere  whose   solidity   is 
11494.0672  cu.  in. 

364.  Three  men  bought  a  horse  for  $150,  and  sold  him 
for  $210,  by  which  A  gained  $30,  and  B  $18;  what  had 
each  paid  for  the  horse? 

365.  What  is  the  difference  between  simple  and  annual 
interest  of  $100,  due  in  10  yr.,  with  10%? 

366.  Complete  the  proportion  of  which  the  first,  third, 
and  fourth  terms  are  5^,  16-|,  and  8f. 

367.  How  many  ft.,  board  measure,  in  a  plank  20  ft. 
long,  3  in.  thick,  18  in.  wride  at  one  end  and  16  in.  wide 
at  the  other  end? 

368.  What  is  the  equated  time  of  paying  the  following 
bills:    Aug.  5,  $290,  at  3  mo.;    Sept.  7,  $410,  at  30  da.; 
Sept.  29,  $500  cash;  Oct.  4,  $600,  at  60  da.? 

369.  A    cubical   block   contains   3   cu.   ft.   648   cu.   in.; 
what  will  it  cost  to  gild  5  sides,  at  84  ct.  a  sq.  ft.? 

370.  A  prism  stands  on  a  triangular  base,  whose  sides 
are  9,  12,  and  15  ft.  long ;  how  high  must  it  be  to  con- 
tain 80  cu.  yd.? 

371.  How  many  ars  in  a  lot  450  m.  long  and  49  dm. 
wide? 

372.  A  man  made  a  60-day  note,  which  he  discounted 
in  bank  at  8%,  and  received  $19261.51;  it  being  due,  for 
what  sum  must  he  give  a  90-day  note  to  redeem  it,  bank 
now  discounting  at  9%? 

373.  A  debt  of  $660,  with   5%   interest,  amounted   to 
$807.40,  May  20,  1873;    when  was  the  debt  contracted? 

374.  Goods  were  listed  at  40  ct.  per  gross,  and  sold  at 
£,  20  and  b%  off;  what  did  150  gross  cost? 


186  KAY'S   NEW  TEST  EXAMPLES. 

375.  A  man  took  out  a  life  insurance  policy  for  $6000, 
the    rate    being    $32.65;     how    much    will     he    pay    in 
premiums  in  30  years,  if  he  lives  that  time? 

376.  What  will  be  the  length  of  a  cubical  box  contain- 
ing 512  liters? 

377.  If  6  men,  in  5  mo.,  have  $450  by  saving  30%  of 
their  wages,    how   much  will   9   men   save  in   4   mo.,  if 
wages  have  been  raised  20%,  and  they  save  40%  of  their 
wages  ? 

378.  A  railroad,   with    280000    $100   shares,  wishes   to 
make  an  extension  costing  $198000;  what  will  be  assessed 
on  a  man  holding  1197  shares? 

379.  Find  the  volume  of  a  cone,  the  altitude  being  40 
in.,  and  the  diameter  of  the  base  18  in. 

380.  A  debt  of  $806  was  paid  July  25,  1886,  less  $156, 
deducted  for  discount,  at  5%  ;   when  was  the  debt  due? 

381.  Ecduce  .013824  to  a  common   fraction. 

382.  A   note  was   given    Dec.  10,  1885,  for  $700,  with 
interest  at  8%,  payable  semi-annually,  and  interest  was 
paid  for  18  months:  what  was  due  May  2,  1892? 

383.  A  horse  is  fastened  by  a  rope,  120  ft.  long,  to  a 
post  in  the  corner  of  a  square  field  ;  over  what  space  can 
he  graze? 

384.  At  4^  ct.  per  ft.,  how  many  boards  16  ft.  long,  5 
in.  wide,  and  11  in.  thick,  can  be  bought  for  $17.10? 

385.  The   longitude   of   Cincinnati    is    84°    20'   W. ;   at 
what  place  on  the  earth's  surface  is  it  1  hr.  4  min.  P.  M., 
when  it  is  half  past  6,  A.  M.,  at  Cincinnati? 

386.  A  note  is  given  May  1,  1880,  for  $720,  with  5% 
interest,  and  endorsed  as  follows:  May  1,  1881,  $30;  Nov. 
1,    1881,   $20;    July   1,   1882,  $148.     On  settlement,  $640 
was  due;  what  was  the  date  of  settlement? 

387.  Bought  bonds  at  4%  premium,  and  sold  at  a  loss 
of  12|%  ;  at  what  discount  did  I  sell? 


MISCELLANEOUS  EXAMPLES.  187 

388.  A  dealer  imported  24  cases  German  toys,  at  250 
marks  per  case,  commission  2%  ;  find  duty  at  35%,  ex- 
change being  95  ct.  2  m.  for  4  marks. 

389.  In  a  four-sided  lot  the  line  between  two  opposite 
corners  measures  66  yd.,  and  the  other  two  corners  are 
distant  from  that  line  50  yd.   and  60  yd.  ;  what  is  the 
area  of  the  lot? 

390.  How    much   iodine,   at    1.3   fr.   per   Hg.,   can   be 
bought  for  2210  fr.? 

391.  A  ladder  65  ft.  long  rests  against  a  house,  writh  its 
foot  16  ft.  from  the  house:  if  the  foot  is  drawn  out  17  ft. 
further  from  the  house,  how  far  wTill  the  top  of  the  ladder 
slide  down  the  wall? 

392.  A  debt,  contracted  June  30,  1882,  amounted,  when 
paid,  to  $467.50,  of  which  $55  was  interest,  at  6%  ;  when 
was  the  debt  paid? 

393.  Goods  were  bought  at  |,  20,  and  10  off,  and  sold 
at  i,  15  and  5  off;  what  %  was  gained? 

394.  A  put  in  $9000  for  6  mo.;    B,  $10000  for  5  mo.; 
at  settlement,  A  had  $9270;  how  much  had  B? 

395.  What  is  the   sixth  term  of  the   geometrical   pro- 
gression 9,  12,  16,  etc.? 

396.  What  cost  55  metric  tons  of  sal   soda,  at  .15  fr. 
per  kilogram? 

397.  A  man  has  a  note  dated  Aug.  25,  at  90  da.,  which 
he  wishes  to  have  discounted  Oct.  10,  and  finds  that  he 
will  receive  $9.40  more  if  discounted  at  5%  than  if  dis- 
counted at  6^  ;  wrhat  was  the  face  of  the  note? 

398.  A  merchant,  in  selling  at  wholesale,  takes  off  5% 
from  his  retail  prices,  and  gains  14%  ;  what  is  his  retail 
profit? 

399.  What    sum    at     6%,    payable    annually,    would 
amount    to   $935.20    in    5   years,    if  no   interest   is   paid 
before  that  time? 


188  RAY'S  NEW  TEST  EXAMPLES. 

400.  Find    the   volume   of  a  sphere  whose  surface  is 
31416  sq.  mi. 

401.  Two    men  were  employed  3  days  to  lay  a  stable 
floor,   70  ft.   long,   30   ft.  wide,  and  3  in.   thick ;  wages, 
$2.25  per  day ;    lumber,  $23  per  thousand  ft.  ;  what  was 
the  total  cost? 

402.  If  a  man  can  fence  a  lot  100  rd.  in  diameter  in 
4  days,  how  long  will  he  be  employed  to  fence  a  lot  200 
rd.  in  diameter? 

403.  If  4i  man  can  plant  a  lot  100  rd.  in  diameter  in  4 
days,  how  long  will  he  require  to  plant  a  lot  200  rd.  in 
diameter? 


ANSWERS. 


Article  19.— 1.  2019.  2.3625.  3.3289.  4.3479.  5.3213. 
6.  4117.  7.  29595.  8.  31980.  9.  33960.  10.  39372.  11.  47467. 

12.  408028.  13.  292002.  14.  489641.  15.  500081.  16.  485558. 
17.  4009575.    18.  4066552.    19.  4125789.    20.  4246920. 
21.  4929077.    22.  4571993.    23.  4627806.    24.  3894072. 
25.  59682383.   26.  63954128.   27.  76129904.   28.  59356529. 
29.  44609196.   30.  33485205.   31.  22253849.   32.  39479884. 
33.  33537.  34.  367958.  35.  318042.  36.  258677.  37.  277670. 
38.  304267.  39.  343207.  40.  345280.  41.  237957.  42.  341390. 
43.  1045358.     44.  3840490.     45.  2077898.     46,  64138. 
47.  44467.   48.  72527.   49.  27803.   50.  27810.   51.  334834. 
52.  2126906.    53.  $50421.    54.  13602.    55.  1325  pounds. 
56.  108410.  57.  1642.  58.  80  feet.  59.  745.  60.  4790  pounds. 
61.  2847  bu.  62.  $10215.  63.  1492.  64.  60698  ft.  65.  1797. 
66.  1314  ct.   67.  399  ct.   68.  $34961.   69.  1926.   70.  1185 
tons.  71.  584870.  72.  2000  miles.  73.  594.   74.  2690  pounds. 
75.  $907.  76.  1300  acres.  77.  $422.  78.  $9404.  79.  540. 

Article  26.— 1.  1734.    2.  46913.    3.  29293.    4.  80808. 

5.  2982314.     6.  22222212.  7.  33333323.    8,  34202862. 

9.  26411091.    10.  171089.  11,  55000085.    12.  199998989. 

13.  367889276.   14.  900090828.   15.  10921812.   16.  87242906. 
17.  8999082.   18.  3067534217.  19.  89640055.   20.  800028087. 
21.  80727.    22.  2939607.  23.  2286722.    24.  15928384. 
25,  228170591.  26.  10052418.  27.  289226824.  28.  1010094950. 

(189) 


190 


EAY'S  NEW  TEST  EXAMPLES. 


29,  864197532.  30,  376032G.  31.  58990502765.  32,  25G30264. 
33.  194398963.  34.  7855426.  35.  191833945.  36.  28775. 
37.  4567813.  38.  4994505.  39,  6276511.  40.  87845. 
41.  31199027.  42.  1160889.  43.  7914100.  44.  439999099616. 
45.  32731990913.  46.  $3032.  47.  $2469.  48.  $747.  49.  273 
acres.  50.  67  years.  51.  1789.  52.  $1445.  53.  $26716. 
54.  $37028.  55.  2361  feet.  56.  2964.  57.  $1557.  58.  $8750. 
59.  179.  60.  51  years.  61.  $9242.  62.  668.  63.  816. 
64.  9811.  65.  37196748.  66.  1738.  67.  675.  68.  582. 
69.  1625.  70.  1830.  71.  5839.  72.  897.  73.  1405.  74.  $523. 
75.  447  acres.  76.  1003.  77.  9566.  78.  49018.  79.  $1687. 
80.  4200  pounds.  81.  $20218.  82.  $21950.  83.  $2414. 
84.  $3200.  85.  $20879.  86.  $16590. 


6. 

12. 

16. 

20. 

24. 

28. 

31. 

35. 

40. 

45. 

50. 

55, 

60. 

64. 

68. 

72. 

75. 

79. 

83. 

87. 

91. 

95. 


33285. 
278855. 


Article  31.— 1.  1630.  2.  4404.  3.  3213.  4.  3088.  5.  3582. 

2712.  7.  45424.  8.  68376.  9.  38390.  10.  80874.  11.  40922. 
55736.  13.  2350257.  14.  4239396.  15.  4617896. 
2868922.  17.  2346330.  18.  3661820.  19.  6251157. 
5647474.  21.  6391920.  22.  4082406.  23.  2373460. 
5570264.  25.  3741367872.  26.  2016536123.  27.  6020532702. 
7716935028.  29.  9336976580.  30.  6766294344. 
4120819551.  32,  5367983103.  33.  7838070273.  34.  6601. 
10846.  36.  9384.  37.  15810.  38.  9650.  39.  12272. 

41.  21132.   42.  35446.   43.  262668.   44.  182031. 

46.  181482.  47.  528126.  48.  352674.  49.  543567. 
224284.  51.  76242.  52.  31602.  53.  291984.  54.  243004. 
445842.  56.  766476.  57.  223244.  58.  665042.  59.  374808. 
892248.  61.  3093120.  62.  3589662.  63.  3446546. 
3856152.  65.  3228646.  66.  5769525.  67.  18076200. 
3378012.  69.  1943212675.  70.  3399899130.  71.  3544904533. 
41343239335.  73.  7853233038.  74.  27708855662. 
9279625278.  76.  $6975.  77.  $6975.  78.  16464  yd. 
1215136  ct.  80.  247101  Ib.  81.  241920  ems.  82.  655960  Ib. 
$98945.  84.  214727  links.  85.  120955  Ib.  86.  5695  men. 
$46494.  88.  112683264  gal.  89.  95091975  mi.  90.  92512  Ib. 
$404499.  92.  45824  trees.  93.  2108295  yd.  94.  133152  Ib. 
7218882  vols.  96.  205592  men. 


ANSWERS. 


191 


Article  32.— 1.  2985192.  2,  8035104.  3,  26710607. 

4.  194553198.    5.  64065096.  6,  18757728.  7.  170321895. 

8.  604085568.   9.  230351550.  10.  26907755.  11,  19039104. 

12.  72785952.   13.  30948864.  14.  52287552.  15.  24088504. 

16.  73180665.   17.  33273456.  18.  70882476.  19.  43096405. 
20.  52202416. 


Article  33.— 1.  28734000.    2.  4986500.  3.  6200945000. 

4.  3845030000.  5,  46835700.  6.  40050008000.  7.  4007089300000. 

8.  37088900000.       9.  268938450000.  10.  3477926700. 
11.  4859602300000.  12.  76540063000. 


Article  34.— 1.  26550.     2.  3454360. 
4.  1578960000.        5.  3745950000. 
7.  3581783200000.       8.  256576320000. 
10.  23387136000.    11.  56762721600000. 
13.  26980167900000.     14.  4141190060. 
16.  70740913000.    17.  13815594000000. 
19.  131065010400.  20.  128610595000. 


3.  438570000. 

6.  38467552000. 

9.  254356320. 

12.  127264680000. 

15.  551374704000. 

18.  32213776000000. 


Article  41.— 1.  15226312.    2.  8643753.    3.  1428570380. 
4.  161401387.    5.  49114887.    6.  246913077.    7.  164608718. 
9.  37037037.    10.  7008946.    11.  10580037. 
13.  90455625.   14.  97393690.   15.  1410934745. 
17.  2000558288. 
21.  4365777. 
25.  70072815. 


8.  12345679. 
12.  19146923. 
16.  69360054. 
20.  94909300. 
24.  15432016. 
28.  102863457. 
32.  920072. 
36.  11201960. 


18.  505279134.  19.  86420132. 
22.  146090535.  23.  98229771. 
26.  793651200.  27.  68685608. 
29.  333667334.  30.  58007569.  31.  934598. 
33.  8896037.  34.  3208901.  35.  7583366. 
37.  7855064.  38.  2600209.  39.  5900470. 
40.  $742.  41.  1274.  42,  415.  43.  1204205.  44.  $162. 
45.  570  hr.  46.  504.  47.  575.  48.  72.  49.  349  Ib.  50.  429 
miles.  51.  128  weeks.  52.  694.  53.  $2402.  54.  2499. 
55.  273.  56.  1296.  57.  $1028480.  58.  15702.  59.  2668. 


192  KAY'S  NEW  TEST  EXAMPLES. 

Article  42.—  1.  2738.     2.  4386.     3.  4623.     4.  5387.     5.  9876. 

6.  3875.      7.  4639.      8.  9375.      9.  3896.      10.  7199.      11.  50731. 

12.  79308.       13.  40065.       14.  40508.       15.  89490.       16.  30972. 
17.  92312.       18.  69234.       19.  37401.       20.  38495.       21.  70193. 
22.  2038904.     23.  50783.     24.  30700^.     25.  68040.     26.  38905. 
27.  133136^323.     28.  19909.     29.  40893.     30.  60907.     31.  38729. 
32.  70625.     33.  4075008.     34.  12144018  Jfff.     35.  67872653§f|J. 
36.  75690587^1  ft-.        37.  80448947-J-fff.        38.  395.        39.  156. 
40.  501.      41.  $305.       42.  65.        43.  285  days.       44.  49  miles. 
45.  154  years.          46.  78  miles.          47.  3003.  48.  1674  bu. 
49.  9208  Ib.     50.  7934.      51.  1925.     52.  107  min.      53.  189  yd. 

Article  43.—  1.  188JJ.  2.  12649.  3.  11641&.  4.  60813fg. 
5.  98508&-  6.  20864.  7.  496796J>7.  8.  133643^.  9.  1514097- 
10.  1894074.  11.  2645501|.  12.  56811JJ. 

Article  44.—  1.  47389^-     2.  3678540^.  3.  2700000  ^7o4oV 

4.  12345678^.                5.  3704605^%.  6.  98979T<&%V 

7.  1300270^.                  8.  123843tfft&.  9.  44872^^%. 
10.  500070r<&{ny.                 H-  3726483952^.  12.  430000. 

13.  12345654^.     '  14.  754000^  oA^o^-       15.  4763859jftft&. 


Article  45.—  1,  11823fg.          2.  889842HJ.          3.  . 

4.  1809855A8u2o-     5.  560300^-.     6.  1823441^.     7.  365137HM- 
8.  101604|f§J.  9.  7153-J^^.  10.  1282840750. 

11.  Ulktffffo-  12.  4092783tf8g».  13. 

14. 


Article  49.—  1.  $3296.     2.  146640  ct.     3.  $13950.    4.  359  A. 

5.  108419.  6.  35  cows.      7.  145  mules.     8.  3088.     9.  336735  ct. 

10.  $1672.  11.  $308.        12.  $35.        13.  2184.        14.  51  men. 
15.  15  pounds.      16.  $7600.      17.  $16988.     18.  $10360.      19.  69. 

20.  169.  21.  3820  ct.         22.  72.         23.  $10388.        24.  448. 

25.  $3736.  26.  $6240.      27.  $17001.      28.  33462  Ib.      29.  948. 

30.  $1855.  31.  230.       32.  244477.      33.  97  horses.      34.  385. 


ANSWERS.  193 

35.  82  hogs.  36.  276676.  37.  $16.  38.  800  times.  39.  $70. 
40.  1229  yd.  41.  107677  yd.  42.  2106320  Ib.  43.  $1068. 
44.  15625yd.  45.  $4140.*  46.  268850  Ib.  47.  12250  bu. 
48.  362.  *49.  262  A.  50.  350  A.  51.  $2214.  52.  35100  ct. 
53.  216. 

Article  53.-1.  $13.93.  2.  $87.493.  3.  $29.08.  4.  $157.50. 
5.  $9.099.  6.  $12.002.  7.  $500.10.  8.  $200.003.  9.  $99.90. 
10.  $90.99. 

Article  55.— 1.  9300  ct.   2.  $8.   3.  460  m.  4.  18  ct.  7  m. 

5.  760  ct.   6.  45000  m.   7.  $3.009.   8.  8917  ct.  9.  70000  ct. 

10.  10000000  m.  11.  4044  in.  12.  46702  ct.  13.  46700  ct. 
14.  83009  m.  15.  $123. 

Article  56.— 1.  $227.75.   2.  $206.  3.  $1544.  4.  $2028.66. 

5.  $63.95.  6.  $2646.95.  7.  $3857.85. 

Article  57.— 1.  $33.34.  2.  $50.33.  3.  $23.91.  4.  $224.20. 
5.  $89.10.  6.  $62.37.  7.  $309.91.  8.  $15138.60.  9.  $6317.82. 
10.  $520.32.  11.  $370.40.  12.  $170.87. 

Article  58.— 1.  $199.032.  2.  $354.06.  3.  $3675.  4.  $520.52. 

5.  $547.20.  6.  $10803.20.  7.  $22224.  8.  $24.804.  9.  $121.176. 

10.  $261090.   11.  $38082.80.    12.  $330.75.    13.  $10693.20. 
14.  $3005.60.    15.  $393.228.    16.  $742.26.    17.  $114.72. 
18.  $115.72.  19.  $877.50.   20.  $900.  21.  $3388.56.  22.  $27. 
23.  $128.25.  24.  $99.  25.  $1263.50.  26.  $640.  27.  $13525.92. 
28.  $783.   29.  $563.28.   30.  $384.   31.  $1275.   32.  $398.40. 
33.  $3738.24.   34.  $6494.40.    35.  $13125.    36.  $7140. 

Article  59.— 1.  150.       2.  525.      3.  625.      4.  740.      5.  438. 

6.  735.       7.  4760.       8.  7090.         9.  182  yards.       10.  160  sheep. 

11.  6460  needles.      12.  796  acres.      13.  200.      14.  152.     15.  2500. 
16.  $24.87.  17.  $13.572.  18.  $40.795.  19.  $48.448. 


^4  KAY'S  NEW   TEST   EXAMPLES. 

20.  $15.56.  21.  $5.72.  22.  $3.056.  23.  $7.009.  21  $113.89. 
25.  $2.80.  26.  $48.04.  27.  22  ct,  5  m.  28.  62  ct,  5  m. 
29.  $.055.  30.  $.075.  31.  $10104.20.  32.  $1.15.  33.  3ct.5m. 
34.  $9.  35.  48  pounds. 

Article  60.— 1.  $4000.       2.  $100.95.       3.  18  ct.      4.  45  bu. 

5.  $24.50.         6.  $62.58.         7.  $96.32.         8.  $81.40.         9.  $5.948. 

10.  $37.98.  11.  $1072.95.  12.  $71.50.  13.  $2673.40. 

14.  $500.50.    15.  $9.25.    16.  400.    17.  216.    18.  80000. 
19.  36000.  20.  166.  21.  $1071.72.  22.  $462.25.  23.  349  days. 
24.  $203.   25.  2  ct.   26.  79400  Ib.   27.  $654.02.   28.  $59. 
29.  48  gallons.     30.  70  miles.     31.  3758.     32.  $2.35. 
33.  $288.40.    34.  $67.54.    35.  $16.14.    36.  $99.73. 

Article  63.— 1.  309  pt.  2.  581  pt.  3.  1201  pt.  4.  2310  pt. 
5.  2864  qt.  6.  74  bu.  3  pk.  2  qt.  1  pt.  7.  180  bu.  6  qt. 
8.  6399  pt.  9.  37313  pt.  10.  1929  bu.  11.  78928  pt. 
12.  1639424  pt.  13.  400  bu.  1  pk.  14.  1543  pk.  1  qt. 

15.  224000000  qt. 

Article  64.— 1.  310  pt.  2.  32  gal.  1  gi.  3.  701072  pt. 
4.  2996  gi.  5.  2983  gal.  1  qt.  1  pt.  6.  276544  gi.  7.  3194  gi. 
8.  466  qt.  1  pt.  9.  2365  gi.  10.  143  gal.  11.  115500  cubic  in. 
12.  226  gal. 

Article  65.— 1.  6000  Ib.     2.  11300  Ib.     3.  181501k 

4.  15999  Ib.  5.  26013  Ib.  6.  155200  oz.  7.  96325  oz.  8.  6  T. 
9  cwt.  45  Ib.      9.  49  T.  4  cwt.      10.  438  T.  5  cwt.  43  Ib. 

11.  1239744000  oz.   12.  5  T.  5  Ib.   13.  143771  Ib.   14.  355  T. 
17  cwt.  71  Ib.    15.  1250  T.    16.  6  T.    17.  281  T.  5  cwt, 
18.  34  T.  11  cwt.  20  Ib.  19.  499  T.  19  cwt.  99  Ib.  15  oz.  20.  9  T. 
19  cwt.  92  Ib. 

Article  66.— 1.  1797  in.  2.  1915  in.  3.  13320  rd.  4.  2796  in. 

5.  1584960  rd.     6.  157  yd.  2  ft.  2  in.     7.  119  mi.  177  rd. 
8.  17939  in.       9.  116$  mi.  85  rd.       10.  1100  yd.  1  in. 
11.  12672320  rd.  12.  123  mi.  241  rd. 


ANSWERS.  195 

Article  67.— 1.  1220sq.rd.  2.  355200  sq.rd.  3.  1948659  sq.rd. 
4.  24598  sq.  in.  5.  3993690  sq.  rd.  6.  128403  sq.  in. 

7.  5120000000000  sq.  rd.        8.  771604  sq.  yd.  8  sq.  ft.  64  sq.  in. 

Articles  68  and  69.— 1.  30  sq.  yd.     2.  66  sq.  yd.     3.  142  sq. 

yd.  2  sq.  ft.      4.  40  sq.  yd.      5.  80  sq.  yd.       6.  27  A.      7.  38  A. 

8.  62  A.  80  sq.  rd.     9.  $85.80.     10.  $12.     11.  $674.50.     12.  $38.40. 

13.  120  rd.       14.  20  mi.       15.  780  bu.       16.  9  yd.       17.  9  yd. 

Article  70.—  1.  74  cu.  yd.  18  cu.  ft.  2.  140268  cu.  in. 

3.  16  cu.  yd.        4.  77  C.        5.  2625943  cu.  in.        6.  240  cu.  yd. 
7.  30  C.      8.  5120  cu.  yd.       9.  $6600.       10.  $375.       11.  10368. 
12.  $570. 

Article  71.— 1.  268200  sec.     2.  110880  min.      3.  2084583  sec. 

4.  5475600  sec.     5.  3715243  sec.     6.  1  wk.  2  da.     7.  31  da.  17  hr. 
18  min.      8.  7560000000  sec.       9.  7  wk.  1  da.       10.  525600  min. 
11.  132480  min.  12.  2419200  sec.  13.  158112000  sec. 

14.  26280  hr.      15.  63244800  times.      16.  200000  min. 

Article  73.— 1.  103104  gr.  2.  103698  gr.  3.  143999  gr. 
4.  15  Ib.  1  oz.  19  pwt.  4  gr.  5.  211  Ib.  1  oz.  6.  7506000  pwt. 
7.  2  Ib.  7  oz.  5  pwt.  8.  24964  gr.  9.  57840  gr.  10.  21814  gr. 
11.  2603  9.  12.  84007  gr.  13.  7  ft  11  g  1  3  17  gr.  14.  36  ft 
2  §  6  5.  15.  42  Ib  10  I  3  3.  16.  896  f.  §.  17.  24000  nu 
18.  72707  f.  £.  19.  648  lines.  20.  15  hands.  21.  51  mi. 
22.  4  yd.  23.  5  ft.  8  in.  24.  80  spans.  25.  117  hands. 
26.  40  fathoms.  27.  4  fathoms  1  foot.  28.  100  rd. 

29.  135457".  30.  68419".  31.  10°  31'  4".  32.  1620000". 
33.  360.  34.  2160.  35.  8640.  36.  25  dozens.  37.  50  gross. 
38.  $72.  39.  $70.56.  40.  $192.  41.  $17.28.  42.  $10.40. 
43.  $30.24.  44.  $2.52.  45.  $90.72.  46.  $17.28.  47.  5760  sheets. 
48.  3840  leaves.  49.  34560  pages.  50.  125  reams. 

Article  74.— 1.  1788  in.  2.  40392  gr.  3.  134  sq.  yd.  6  sq.  ft. 
4.  3°  28'  20".  5.  10  cu.  yd.  21  cu.  ft.  1152  cu.  in.  6.  17740  gr. 
7.  1  wk.  2  da.  23  hr.  59  min.  50  sec.  8.  52  bu.  1  pt.  9.  2016 


196  KAY'S  NEW  TEST  EXAMPLES. 

dozens.  10.  15300  Ib.  11.  103  yd.  2  ft.  2  in.  12.  3317760 
cu.  in.  13.  709  gal.  3  qt.  14.  5184  barrels.  15.  750  gross. 
16.  110592  qt.  17.  165  Ib.  7  oz.  10  pwt.  18.  448224  oz. 
19.  23552  f.  3.  20.  33  wk.  12  hr.  21.  949  gal.  3  qt.  1  pt. 
22.  4  sq.  mi.  162  A.  150  sq.  rd.  23.  76800  rd.  21  631  pt. 
25.  11491220  sec.  26.  99510  rd.  27.  1  T.  11  cwt.  28.  1  wk. 

4  da.  13  hr.  46  min.  40  sec.     29.  81  C.     30.  30816000  gr. 
31.  385  bu.  3  pk.  1  qt.   32.  6832800  min.   33.  599616  cu.  in. 
34.  78039  Ib.    35.  49928  gr.    36.  59940  sq.  in.    37.  1234 
gal.  2  qt.  38.  277  yd.  2  ft.  4  in.  39.  20  bu.  2  qt.  40.  5740  gr. 
41.  512005  sq.  rd.      42.  768  cu.  yd.      43.  199680  leaves. 
44.  13°  13'.  45.  125000  gal.  46.  7  g  2  3  1  9.  47.  99  bu.  3  pk. 
7  qt.  1  pt.  48.  11520  sheets.  49.  612  sq.  yd.  4  sq.  ft.  135  sq.  in. 
50.  31  T.  5  cwt.  51.  2855  in.  52.  4204096  cu.  in.  53.  6  sq.  mi. 
560  A.     54.  8816  pt.     55.  3510055  sec.     56.  4290  rd. 
57.  320000  Ib.      58.  961600  oz.     59.  4  cu.  yd.  18  cu.  ft. 
60.  865  gal.    61.  864  scores.     62.  14  T.  5  cwt.  49  Ib.  5  oz. 
63.  156  bu.  1  pk.  64.  50423".  65.  1180  gal.  66.  771  sq.  yd. 

5  sq.  ft.  64  sq.  in.   67.  187  yd.   68.  11  f.  g.   69.  36161  pt. 
70.  5  wk.  5  da.   71.  300  reams.   72.  9  T.   73.  62020  sq.  rd. 
74.  16320  rd.   75.  18  C.  70  cu.  ft.   76.  $25.20.   77.  $24.96. 
78.  2  cwt.  50  Ib.  79.  120  gal.  80.  $36.27.  81.  120.  82.  368 
dozen.  83.  $75.  84.  $16.  85.  $136.80.  86.  1496.   87.  800. 
88.  1  min.  45  sec.     89.  768.     90.  1°  2(X.     91.  $61.25. 
92.  5400  Ib.  93.  7  Ib.  6  oz.  94.  2250  C.  95.  56  doz.  96.  60. 
97.  640.  98.  $3.92.  99.  4096  bu.  100.  200  sq.  yd.  101.  5600. 
102.  $760.   103.  400  doz.    104.  2  da.  32  min.   105.  4  hr. 
106.  6  bu.  1  pk.  107.  125  reams.  108.  2000  gal.  109.  $9360. 
110.  $54.72.  111.  $354.  112.  $18.  113.  $.035.   114.  $121.50. 
115.  6  da.  16  hr.    116.  $112.50.    117.  160  T.    118.  $144. 
119.  3  da.  4  hr.     120.  $162.     121.  133  cu.  ft.  1176  cu.  in. 
122.  $3.60,   123.  $11650.80.   124.  $247.50.   125.  2592  score. 
126.  3  bu.  3  pk.  6  qt.    127.  $224.    128.  376.    129.  282. 
130.  $460.80.    131.  $8640.    132.  75  doz.    133.  331  gal. 
134.  $66.    135.  16  da.    136.  320  wk.    137.  147  barrels. 
138.  1040  bags.    139.  81  da.    140.  $171.18.    141.  $.075. 
142.  $76.80.     143.  45  gal.     144.  13824.     145.  $2.40. 
146.  72  sheets. 


ANSWERS.  197 

Article  75.— 1.  60  bu.  2.  900  bu.  3.  192  gal.  2  qt.  4.  31  T. 
16  cwt.  11  Ib.  5.  151  gal.  1  pt.  6.  4  T.  lOcwt.  7.  177  gal.  3  qt. 
8.  79  yd.  9.  57  yd.  1  ft.  3  in.  10.  500  A.  38  sq.  rd.  11.  127  sq. 
yd.  3  sq.  ft.  43  sq.  in.  12.  34  sq.  mi.  330  A.  13.  152  cu.  yd.  6  cu.  ft. 
14.  377  C.  7  cu.  ft.  1130  cu.  in.  15.  57  da.  9  lir.  26  min. 

16.  5  wk.  6  hr.  32  min.     17.  42  Ib.  11  oz.     18.  3  g  5  3.     19.  2  Ib 
8  g.          20.  23  score  and  3.          21.  119°  50'.          22.  61°  V  1". 

23.  35  Cong.  15  f.  g.  24.  1  O.  4  f.  g .  25.  361  gal.  3  qt. 

26.  253  C.  88  cu.  ft.      27.  258  dozen.      28.  4  T.  18  cwt. 

29.  102  A.  30.  149  da.  14  hr.   31.  100  mi.  160  rd.  32.  24  da. 
23  hr.  36  min.  2  sec. 

Article  76.—  1.  19  bu.  3  pk.  5  qt.  2.  19  bu.  1  pk.  6  qt. 
3.  50  gal.  1  pt.  2  gi.  4.  149  gal.  1  qt.  1  pt.  5.  1  T.  15  cwt.  18  Ib. 
6.  9  cwt.  89  Ib.  6  oz.  7.  23  mi.  250  rd.  8.  7  yd.  11  in.  9.  62  yd. 
2  ft.  10  in.  10.  4  sq.  mi.  370  A.  11.  17  sq.  yd.  5  sq.  ft.  99  sq.  in. 
12.  199  sq.  mi.  639  A.  110  sq.  rd.  13.  27  cu.  yd.  17  cu.  ft.  1628 
cu.  in.  14.  62  C.  127  cu.  ft.  1706  cu.  in.  15.  2  hr.  46  min.  2  sec. 
16.  4  wk.  1  da.  23  hr.  57  min.  56  sec.  17.  5  Ib.  7  oz.  7  pwt. 
18.  2  Ib  9  g  4  Z  2  9.  19.  4°  48'  40".  20.  6  reams  16  quires. 
21.  1  gross  8  dozen.  22.  6  f.  g  2  f.  3.  23.  14  bu.  6  qt. 

24.  176  bu.  2  pk.    25.  1  wk.  1  da.  7  hr.    26.  316  gal.  3  qt. 

27.  83  A.  40  sq.  rd.    28.  3  cwt.  58  Ib.    29.  18  C.  113  cu.  ft. 

30.  2  T.  18  cwt.  10  Ib.    31.  8°  23'  40":    32.  4  g  3  3  10  gr. 
33.  276  T.  19  cwt.  70  Ib.  34.  96  hr.  18  min.  35.  21  C.  32  cu.  ft. 
36.  13  bu.  3  pk.  37.  13  da.  11  hr.  3  min. 

Article  77.—  1.  1  yr.  7  mo.  18  da.  2.  84  yr.  2  mo.  19  da. 
3.  67  yr.  9  mo.  22  da.  4.  155  yr.  6  mo.  13  da.  5.  1  yr.  10  mo. 
14  da.  6.  6  yr.  8  mo.  24  da.  7.  46  yr.  4  mo.  6  da,  8.  85  yr. 

11  mo.  23  da. 

Article  78.— 1.  119  da.  2.  64  da.  3.  146  da.  4.  277  da. 
5.  203  da.  6.  195  da.  7.  361  da.  8.  162  da. 

Article  79.— 1.  29  biv.  1  pk.  4  qt.       2.  63  gal.  3  qt.      3.  1  T. 

12  c\vt.  75  Ib.      4,  64  yd.  1  ft.  5  in.      5.  23  sq.  yd.      6.  2  cu.  yil 
20  cu.  ft.  88  cu.  in.      7.  6  Ib.  8  oz.  18  pwt.      8.  2  Ib  5  g.      9.  22? 


198  KAY'S  NEW  TEST  EXAMPLES. 

gal.  1  qt.   10.  78°  12' '.   11.  20  reams  10  quires.   12.  276  mi. 
230  rd.  13.  55  da.  7  hr.  35  niin.  24  sec.  14.  43  T.  15  cwt,  34  Ib. 

15.  138  bu.  4  qt,  16.  1073  yd.  1  ft.  17.  37  bu.  2  pk.  18.  24  da. 
10  hr.  20  min.    19.  1  hr.  54  miu.  40  sec.    20.  274  T.  15  cwt, 
40  Ib.  21.  489  sq.  yd.  120  sq.  in.  22.  41  bu. 

Article  80.—  1.  3  bu.  2  pk.  3  qt,     2.  3  cwt.  72  Ib.  9  oz. 
3.  3  yd.  2  ft.  4  in.  4.  7  sq.  ft.  88  sq.  in.  5.  3  hr.  30  min.  40  sec. 

6.  3  pwt.  14  gr.  7.  1  3  2  9  10  gr.  8.  7  gal.  2  qt.  1  gi.  9.  7  yd. 
8  in.   10.  1  sq.  yd.  2  sq.  ft.  24  sq.  in.   11,  2  da.  7  hr.  20  min. 

12.  1  cu.  yd.  864  cu.  in.   13.  23  bu.  3  pk.  1  qt.   14.  5  gal.  1  qt. 
1  pt.  3  gi.   15.  98  Ib.  5  oz.   16.  5  cu.  yd.  15  cu.  ft.  17.  16  da. 
7  hr.  34  min.   18.  32'  26".   19.  249  bu.  1  pk.  4  qt.  20.  7  mi. 
206  rd.  21.  3  T.  9  cwt.  40  Ib.  22.  1  bu.  2  pk.  7  qt. 

Articles  81  and  82.— 1.  2  hr.  40  min.  2.  2  hr.  13  min.  20  sec. 
3.  2  hr.  25  min.  8  sec.  4.  4  hr.  39  min.  24  sec.  5.  6  hr.  40  min. 

40  sec.  6.  3  hr.  16  min.  54  sec.  7.  4  hr.  24  min.  3  sec.  8.  4  hr. 

41  min.  9  sec.     9.  6  hr.  36  min.  36  sec.     10.  7  hr.  27  min.  26  sec. 
11.  3  hr.  55  min.  53  sec.     12.  6  hr.  31  min.  32  sec.     13.  169°  18' 15". 
14.  104°  49'  15".     15.  152°  32'  30".     16.  109°  21X  45".     17.  228° 
37X  15".      18.  71°  17'  30".       19.  82°  21X  15".      20.  11°  56'  45". 

21.  1  hr.  56  min.  slow.      22.  3  hr.  8  min.  fast.      23.  Shortened  3 
min.       24.  5  hr.  32  min.       25.  10  hr.  36  min.  A.M.       26.  2  hr. 
32  min.  A.M.      27.  6  hr.  20  min.  P.M.      28.  10  hr.  16  min.  A.M. 
29.  6  P.M.  previous  day.     30.  5  hr.  39  min. 

Article  87.— 1.  3,  17.       2.  2,  2,  13.        3.  2,  31.       4.  3,  3,  7. 
5.  2?  2,  2,  3,  3.          6.  3,  5,  5.          7.  2,  2,  19.          8.  2,  2,  2,  3.  5. 

9.  2,  2,  3,  11.     10.  2,  2,  2,  3,  7.       11.  2,  2,  7,  7.       12.  2,  3,  3,  11. 

13.  2,  2,  3,  17.       14.  3,  3,  23.        15.  2,  2,  3,  3,  7.       16.  3,  11,  17. 
17.  2,  3,  3,  7,  7.     18.  2,  2,  3,  3,  23.      19.  2,  11,  11,  11.      20.  3,  3, 

7,  7,  7.     21.  2,  2,  3,  3,  11,  11. 

Article  88.— 1.  2,  2,  5.      2,  2,  3,  5.      3.  2,  2,  2,  5.     4.  3,  3,  5. 
5.  2,  3?  7.       6.  2,  2,  3,  3,  3.       7.  2,  3,  3,  3.       8.  2,  11.       9.  3,  7. 

10.  5,  7.     11.  3,  11.     12.  2,  2,  3.     13.  13.     14.  2,  2,  3.     15.  2,  2,  2. 

16.  3,  5.      17.  2,  2,  2,  3.      18.  13.       19.  2,  7.      20.  11.       21.  7. 

22.  2,  3. 


ANSWERS. 


199 


Article  89.—  1.  12.  2.  10.  3.  9.  4.  7.  5.  4V  6.  78. 
7.  49.  8.  11.  9.  9.  10.  82.  11.  49.  12.  21.  ^13.  144. 
14.  144.  15.  37.  16.  27.  17.  14.  18.  20.  19.  36.  20.  27. 
21.  7.  22.  17.  23.  9.  24.  15.  25.  3.  26.  9.  27.  2. 


Article  90.—  1.  240.   2.  720.   3.  240.  4.  400.   5.  3024. 

6.  840.   7.  1980.   8.  4620.   9.  7920.  10.  720.   11.  720. 

12.  360.  13.  3024.  14.  14762.  15.  4199.  16.  4225.  17.  5145. 
18.  2250.  19.  600.  20.  1848.  21.  25025.  22.  2288.  23.  144. 
24.  2880.    25.  702.    26.  2304.    27.  3960.    28.  16200. 
29.  30870.  30.  8610. 

Article  91.—  1.  9  times.   2.  3.   3.  24  times.   4.  6  times. 
5.  15.  6.  54.  7.  24.  8.  32.  9.  24.  10.  16.  11.  36.  12.  102. 

13.  360.     14.  120.     15.  18  (hundred). 


Article  103.—  1.  ^-.      2.  W-      3.  W-      4.  Hf--      5. 
6.  W-       7>  W-       8.  if*.       9.  MP.       10.  *&*.       11. 
12.  HS^-     13.  W-     14-  W-     15.  W-     16.  HF-     17. 
18. 


Article  104.—  1.  if*.      2. 

6.  W-  7.  ^  8.  W- 
12.  \9o°o3.  13.  *W*.  14. 
17.  ii}T9^.  18.  ^|F-  19. 


?A      3.  *$*. 

9-  W-       10. 

T9^.        15.  * 
r3-     20. 


21. 


-      5. 
11. 
16. 


Article  405.—  1.  76J,  2.  46.  3.  177.  4.  123^.  5.  362^. 
6.  174,V  7.  243^.  8.  145f\.  9.  16%.  10.  33J}.  11.  403-ft. 
12.  152f|.  13.  230.  14.  141  1|.  15.  39.  16.  98^%.  17.  81. 
18.  82T%.  19.  218.  20.  536iJ.  21.  48|f. 


Article  106.-  1.  Jf. 

e.  HI-  7.  rifc.  s.  m. 

13.  Iff.     14.  ffj.     15. 

19.  T2^:.    20.  ff||. 


2. 


9. 


3.  iJ.        4.  ff.        5. 

-  10.  m-  n.  «*•  12. 

16.  Hif     17.  ttfJ-    18. 


200  RAY'S  NEW  TEST  EXAMPLES. 

Article  I07.-1.  f.  2.  §.  3.  f?,  4.  AV  5,  11.  6.  ?J. 
7.  1-J.  fc.  4},  9.  -J^.  10.  f.  11.  |i.  12.  5J,  13.  -?&. 
14.  fj.  15.  ^.  16.  |.  17.  A.  18.  f.  19.  if.  20.  §f. 
21. 


Article  108.-  1.  f8,  4j,  t§-  2.  ig.  I*,  S8-  3.  |J,  ||,  «*, 
4.  fg,  fft,  |§.  5.  M,  4ft,  H.  IS-  6.  f  1,  If,  34,  j|.  7.  }§f,  flfc, 
AV,  AV  8-  A25,  A%,  T¥S,  i%.  9.  M§,  /A,  M»  &V  10.  J5JJ, 
A1^,  5%%V  11.  ff,  ft,  14,  II-,  IS-  12.  TVa,  A5«5,  A%  1%%- 
13.  §5,  A,  H,  fi  *§•  14.  fWc,  TSt«,  T*lrr,  rfte-  15.  Air,  A6t5, 
A°!y,  Hi-  16.  TV2T,  T6A,  T4A,  -m-  17.  fi,  fi  IS,  {  j.  18.  ^|§, 
m,  m,  J&-  19-  A7A,  Mfs,  A¥F,  iWs-  .20.  f§,  M,  fg,  |g. 
21.  JM8,  iffl,  tffl,  if  §8-  22.  A°T,  HI.  AT.  AV  23.  ^,  &, 
T1^,  yfe-  24.  «,  ft,  ff,  «  .  25.  W,  If.  W,  !-§•  26.  iff  , 
«*,  Iff.  iff-  27.  §18,  ftf,  118,  IM-  28.  m,  ff  f  ,  T%,  A\,  A\- 
29.  iH4,  H|»,  ALA,  Hf«,  -BM-  30.  ff,  fi,  %Q,  W,  W- 


Article  110.—  1.  2|.  2.  2f.  3.  2^.  4.  2J.  5.  15V-  6.  f 
7.  24§.  8.  iff.  9.  H-  10.  HI-  11.  2/5.  12.  24.  13.  itf. 
14.  2A- 

Article  Ill.-l.  1^.  2.  2ft.  3.  2f.  4.  2ft.  5.  64|. 
6.  1HH-  7.  1.4H.  8.  2HJ.  9.  2f|^.  10.  23|f.  11.  2 

12.  98  /,f.     13.  154J.      14.  555|.  15.  1498J|.     16.  2|.     17. 

18.  5|J.     19.  14fV.     20.  12|f.  21.  13ft.     22.  2J§.    23. 

24.  36J.    25.  55.    26.  7&.    27.  2|f.    28.  948-^.    29.  17 
30.  85|3. 


Article  113.—  1.  13f.       2.  24^.       3.  8f.       4.  9f.       5.  72J. 

6.  llj.        7.  8f.        8.  159i.       9.  9H-       10,  19J|.       11.  Hf- 
12.  199J.     13.  142Jf.     14.  74|.     15.  287.V      16.  26J.     17.  352£. 
18.  368f^.       19.  llff.       20.  327^0-       21.  1864f.       22.  53}j}- 
23.  876J.    24.  279JJ. 

Article  II4.-1.  A-     2.  |f     3.  ft.     4.  ^.    5.  M-    6.  US- 

7.  «•    8-  H-     9-  H-     10.  Tb-     11.  3A-    12.  SJJ.    13.  1^%. 
14.  7ft.    15.  154T.    16.  84J4.    17.  54J3.    18.  652/r.    19.  578ff 
20.  4fiJ.  21.  21fH-    22.  102J£.    23.  8989ft- 


ANSWERS.  201 

Article  II5.-1.  JJ.     2,  J.     3.  A.     4.  A-     5.  ^.     6.  2*. 

7.  £  8.  f.  9.  -J-jJ.  10.  1?.  11.  14ft.  12.  8f  13.  145|. 
14.  34f.  15.  154.  16.  84.  17.  320§,  18.  675.  19.  3473f 
20.  189A.  21.  2441406|,  22.  32}f,  23.  306|.  24.  500. 
25.  I960.  26.  26f.  27.  9&.  28.  840.  29.  31^.  30.  32130. 
31.  5200.  32.  48}. 

Article  116.— 1.  63T7T.      2.  156f.      3.  77|.      4.  21 J.      5.  Jf. 
6.  18*J.   '  7.  17A-      8.  371       9.  1T%.      10.  662*.      11.  lOOf. 

12.  56A- 

Article  117.- 1.  |f        2.  if        3.1*.      -4.8*.        5.  rffr. 
6.  1AV     7.  A.    8.  10}f.     9.  10A-     10.  Trhr-     11.  6f.'   12.  7. 

13.  4&.      14.  10J.      15.  i^.      16.  2T%.      17.  75F.       18.  23f 
19.  A-      20.  5|.      21.  /AV      22.  2J.      23.  H.      24. 

25.  f J.    26.  24i|.    27.  5f|,    28.  iff. 


Article  118.— 1.  31*  ct.  2.  56*  ct.  3,  64T7^  ct.  4.  $85. 
5.  $11*.  6.  $6A-  7.  $41280.  8.  $10|,  9.  $4.84|.  10.  45  ct. 
11.  $1.  12.  $177.30.  13.  2§.  14.  7*f .  15.  31  |f.  16.  89A  mi. 
17.  $136f.  18.  19  A.  19.  9**  C.  20.  $16.  21.  $125. 
22.  $12}f.  23.  $1.37*.  24.  2||  A. 

Article  119.— 1.  1*.  2.  f  3.  1*.  4.  6§.  5.  21*.  6.  Tfo. 
7.  lA-  8.  5*J.  9.  f .  10.  3A-  11.  17*-  12.  A-  13.  4|. 
14.  4f.  15.  48A-  16.  Tfff.  17.  1700.  18.  3ft.  19.  1^. 
20.  5f .  21.  if.  22.  375.  23.  9*.  24.  95&.  25.  J-f .  26.  ^fe. 
27.  21A-  28.  f.  29.  1127*.  30.  2f|°?.  31.  1J-*  ct. 
32.  $34**-  33.  57*-J  A.  34.  A  Jd-  35.  17-J  ct.  36.  17*5  lb. 
37.  A  lb-  38.  45.  39.  A  oz.  40.  $3 A-  41.  9|  da.  42.  $*|. 
43.  12^  yd.  44.  8*f  Ib.  45.  7A  da. 

Article  120.- 1.  f.  2.  A-  3.  A-  4.  «.  5.  A-  6.  A- 
7.  ft.  8.  |f.  9.  A-  10.  T*IT-  11.  A-  12.  *f  13.  A- 
14.  j.  15.  A-  16.  H- 


202  KAY'S  NEW   TEST  EXAMPLES. 

Article  I2l.-l.fj.  2.1?.  3.  f|.  4.  sVo-  5.  H.  8. 
7.  31.  8.  ¥%.  9.  TWV  10.  A-  11.  if-  12,  f .  13. 
14.  |,  15.  f 


Article  122.— 1.  2JJ.  2.  3J.  3.  4f J  Ib.  4.  $13}.  5.  If. 
6.  $61|.  7.  3^  yd.  8.  33f  Ib.  9.  5J  times.  10.  8.  11.  13f  A. 
12.  ft.  13.  40.  14.  IfJ.  15.  Tfo.  16.  $16J.  17.  131  yd. 


Article  123.— 1.  132  yd.  2.  4840  sq.  yd.  3.  40  yr.  80  da. 
4.  $3.82J.  5.  22869  sq.  ft.  6.  $180|.  7.  952  sq.  rd.  8.  $53.20. 
9.  $123.75.  10.  $33.47|.  11.  112392  hr.  12.  $15.31J. 
13.  $21.25.  14.  35H  ct.  15.  29J-  ct.  16.  $1.89f.  17.  32f  ct. 
18.  10  mi.  12  rd.  2  ft.  19.  18150  sq.  yd.  20.  2  mi.  4  rd. 
21.  18817920  sq.  in.  22.  12  rd.  23.  9600.  24.  77  yr.  35}  da. 


Articles  124  and  125.—  1.  f  qt.     2.  ft  pt.      3.  f  oz.      4.  Hi 

sq.  yd.  5.  f  cu.  ft.  6.  }  da.  7.  M  <>z.  8.  |f  pwt.  9.  M  9- 
10.  §|  sq.  rd.  11.  rfflft  cu.  in.  12.  ||  sec.  13.  yfr  pt. 
14.  Iff  min.  15.  fft  gi.  16.  2  qt.  3  gi.  17.  12  cwt.  72  Ib. 
11T7T  oz.  18.  302  rd.  1  yd.  8  in.  19.  153  sq.  rd.  10  sq.  yd.  108 
sq.  in.  20.  202  da.  22  hr.  21.  9  oz.  6  pwt.  16  gr.  22.  3  qt. 
1  pt.  3^  gi.  23.  7  5  1  9  10  gr.  24.  9  cwt,  37  Ib.  8  oz. 

25.  2  yd.  26.  V  48".  27.  5  A.  46  sq.  rd.  8  sq.  yd.  4  sq.  ft.  72 
sq.  in.  28.  3  rd.  1  yd.  3f  in.  29.  39  cu.  ft.  874f  cu.  in. 

30.  3  f.  g  1  f.  3  36  n\,.     31.  10  hr.  57  min.  46f  sec. 


Article  126.—  1.  ^  da.  2.  ^V(T  C.  3.  TTV?  sq.  yd. 
4,  22Vo  cwt.  5.  A  gal.  6.  A  bu.  7.  yeW  <^-  8.  3^  cu.  yd. 
9.  ?V  Ib.  10.  ^io  mi.  11.  TirWWo  scl-  mi-  12.  -9Jo  yr. 
13.  TrtW  T.  14.  sH  chain.  15.  Tf  ^  gal.  16.  ^  bu. 


Article  127.-  1.  ^.    2.  gf    3.  TV    4.  A.    5.  J.    6. 
7.  «.     8.  A-     9.  A°T.     10.  A-     11.  *»•     12.  A-     13, 


ANSWERS.  203 

Article  128.— 1.  1  sq.  ft.  72  sq.  in.  2,  124  cu.  ft.  3.  44'  12/r. 
4.  4  oz.  12-pwt.  5.  6  cwt.  70  Ib.  6.  1  Cong.  3  O.  5  f.  3  2  f.  3 
40  WL.  7.  191  rd.  2  yd.  1  ft,  4  in.  8.  3  rd.  2  yd.  2  ft.  5  in. 
9.  5  d:i.  17  hr.  16  mill.  10.  3  pk.  7  qt.  11.  2  qt.  1  pt.  12.  12 
cwt.  9  Ib.  4  oz.  13.  87  rd.  3  yd.  2  ft.  6  in.  14.  2319. 

15.  70  cu.  ft. 

Article  129.— 1.  |g.  2.  145  A.  72  sq.  rd.  22  sq.  yd.  3.  5J. 
4.  13*.  5.  AV  6.  A.  7.  M-  8.  7J.  9.  21.  10. «.  11.  «. 
12.  T^.  13.  A  Ib.  14.  $5ft.  15.  $131.25.  16.  $2£.  17.  TV 
18.  26f  T.  19.  $62|g.  20.  23ft.  21.  f  22.  $55.  23.  A. 
24.  2  cwt.  57  Ib.  11  oz.  25.  544|.  26.  270.  27.  264.  28.  ff, 
H>  yf  >  If  •  29.  18.  30.  $678.  31.  $11.75.  32.  60.  33.  $70. 
34.  $3368.  35.  $4^.  36.  $396.80.  37.  1638J \  A. 

38.  $1415iJ,     39.  -&.     40.  6  A.  125  sq.  rd. 


Article  130.— 1.  $112.50.  2.  $49.  3.  $77.  4.  $420.625. 
5.  $180.  6.  $85.89.  7.  $605.25.  8.  $1280.50.  9.  $31.25. 
10.  $1351.50.  11.  $298.50.  12.  $222.  13.  $370.50.  14.  $631. 
15.  $14.375.  16.  $42.40.  17.  $47.43.  18.  $1.68f.  19.  $1.50. 
20.  $6.468.  21.  $13.50.  22.  $13.41.  23.  $11.85.  24.  $14.90. 
25.  $30.54.  26.  $25.30.  27.  21  bu.  28.  42£  yd.  29.  $6.25. 
30.  $1.25.  31.  $12.33^.  32.  $1.33J.  33.  83£  A.  34.  $58.66j. 
35.  $8.05.  36.  $137.64. 


Article  141.- 1.  f.     2.  M-     3.  AV     4.  f.     5.  ¥V    6. 
7.  Tfo.    B.  Hf.    9.  ».    10.  rfJo-     11.  A-     12.  if.    13. 
14.  26&.      15.  A-      16.  19g,      17.  3001,      18.  46|.      19.  13ff. 
20.  20^.    21.  H-    22.  14^^.    23.  9Tfe.    24.  H- 


Article  142.— 1.  .375.  2.  .45.  3.  .3125.  4.  .44.  5.  .26. 
6.  .1875.  7.  .40625.  8.  .53125.  9.  1.3125.  10.  .01875. 
11.  .00125.  12.  .068.  13.  .018.  14.  .85625.  15.  .0171875. 
16.  .953125.  17.  1.78.  18.  .56179+.  19.  .2394+.  20.  .4. 
21.  .75.  22.  .9423+.  23.  .135.  24.  .0418+. 


204  KAY'S  NEW  TP^ST  EXAMPLES. 

Article  143.— 1.  153.13.       2.  146.23.       3.  600.  4.  .458843. 

5,  662.2829.     6.  694.532.     7.  989.1009.      8.  3551.979.  9.  192.06. 

10.  2767.9932.          11.  1872.448.          12,  5517.789.  13.  599.4. 

14.  1472.827755. 

Article  144.— 1.  27.488.      2.  9.17.  3.  35.8761.      4.  253.125. 

5.  256.7989.      6.  225.612.      7.  8.4476.  8.  88.888.      9.  16.92924. 

10.  18.825.     11.  49.911.     12.  124.1376.  13.  .576.     14.  88.850034. 

15.  50895.3573. 

Article  147.— 1.  .57227.      2.  222.5.       3,  740.25.      4.  .01575. 

5.  2377.05.    6.  .0006.    7.  .093.     8.  .00135.     9.  .9702.     10.  3696.3. 

11.  .0021.        12.  2250.        13.  .031777.   14.  .02121696. 15.  4207.5. 

16.  169.119.     17.  294.06.    18.  .0797449.     19.  730675.2.     20.  729. 

21.  80000.     22.  4503744.     23.  310.     24.  94.87. 

Article  150.— 1.  1.67.      2.  7.53.      3.  2.115.     4.  2.5.     5.  .024. 

6.  14.95.      7.  .00345.      8.  12.5.      9.  400.3.      10.  4000.      11.  .21. 

12.  41000.        13.  .96875.        14.  .000025.        15.  4.5.       16.  .0625. 

17.  9.25.        18.  .75.         19.  10000.         20.  .32.        21.  .06636+. 

22.  .301003+.     23.  .0000066+.     24.  98.21428+. 

Article  151.—  1.  .8  pt.       2.  .2184  pt.       3.  .86  Ib.      4.  .99  in. 

5.  .768  sq.  rd.        6.  .11664  cu.  in.        7.  .972  sec.        8.  .48  cu.  ft, 
9.  .7452  sq.  in. 

Article  152.— 1.  1  pk.  6  qt.  2,  1  qt.  1  pt.  2  gi.  3.  3  cwt, 
12  Ib.  8  oz.  4.  50  rd.  5.  250  A.  6.  89  cu.  ft.  1036.8  cu.  in.  7.  138 
da.  19  hr.  4  min.  48  sec.  8,  16°  55'  12". 

Article  153.—  1.  .0055  bu.  2,  .015  gil.  3.  .0005  sq.  yd. 
4.  .0000125  cu.  yd.  5.  .01475  bu.  6.  .0003375  da.  7.  .000256  cwt. 
8.  .04875  gal.  9.  .0000015  da.  10.  .000234375  bu. 
11.  .0000006250.  12.  .00002  yr.  13.  .0000125  mi.  14.  .00024  T. 
15.  .000000027+  A. 


ANSWERS.  '  '  ^205 

;  . 

Article  154.— 1.  1  hr.  12  min.  2.  $16.24.  3.  5  A.  4.  $2.185 
5.  118  Ib.  2  oz.  6.  42  rd.  7.  36  C.  32  cu.  ft.  a  128  rd.  2  yd. 
1  ft.  .6  in.  9.  14  cwt.  95  Ib.  10.  32  gal.  1  qt.  1  pt.  11.  $9990. 
12.  7  qt.  1  pt.  13.  $61.32.  14.  233  mi.  132.8  rd.  15.  38  da. 
5  hr.  48  min.  16.  .375.  17.  1  pk.  7  qt.  .4  pt.  18.  42  sq.  rd. 
19.  1  cwt.  33  Ib.  12  oz.  20.  $109.20.  21.  20  yd.  1  ft.  10.5  in. 
22.  158  Ib.  8  oz.  23.  $121.80.  24.  $65.73.  25.  81  ct, 
26.  281  da.  5  hr.  49  min.  12  sec.  27.  9  hr.  13  min.  7.5  sec. 
28.  $6.  29.  3  mi.  40  rd.  30.  $612.50. 


Article  156.—  1.  394500  dm.  2.  .09364  Km.  3.  1.23456  Mm. 
4.  98765  Dm.  5.  .000034  Mm.  6.  74600  cm.  7.  .837  Mm. 
8.  3700  m.  9.  46000000  dm.  10.  5.8  Hm.  11.  374500000  cm. 
12.  .6725  Km.  13.  8.9364  Dm.  14.  4.56  Hmn 

Article  157.—  1.  37.468  Ha.    2.  49320  ca0    3.  3.8743  a. 

4.  3.8743  a.   5.  4387.5  m2.   6.  .0000457  Ha.    7.  .89734  Ha. 
8.  583900  m2.  9.  .3843  Ha.  10.  397000  ca. 

Article  158.— 1.  48  1.  2.  39500  cl.  3.  .4937  HI.  4.  583900  cl. 

5.  4,57  1.   6.  678.9  cl.   7.  346.92  Dl.  8.  4.2789 1.  9.  3.2584  HI. 
10,  .047  DL   11.  3800000  dl.   12.  2.97  Dl.   13.  .04683  HI. 

14.  3870000  dl.    15.  49000  1.    16.  .37282  m3.   17.  .678  m3. 

18.  303  dl. 

Article  159.—  1.  .065  M.  T.  2.  4893100  mg.  3.  465.3  Dg. 
4.  .6543  Q.  5.  87000  Kg.  6.  .000937  g.  7.  123456  dg. 
8.  8.734  Dg.  9.  88736000  eg.  10.  .000000086  Q.  11.  .0000765  M.T. 
12.  .3945  Hg.  13.  3894000  gr.  14.  87300000000  mg. 

15.  89.9  Mg.     16.  4890  dg.     17.  .4  Mg.     18.  12  Kg. 

19.  9.876541  Q.     20.  34560  g.     21.  4800.48  Hg.    22.  90830000  mg. 

Article  160.—  1.  43  yd.  2  ft.  2.8  in.  2.  123  A.  88  sq.  rd. 
3.  8  cwt.  26  Ib.  11.6  oz.  4.  126  rd.  4  yd.  6  in.  +  5.  14  T.  6  cwt. 
59.8  Ib.  6.  25  C.  110.8  cu.  ft.  7.  2  Ib.  4  oz.  2  pwt.  15.gr. 


206  BAY'S  NEW  TEST  EXAMPLES. 

8.  654  cu.  yd.  9.  747.5  sq.  yd.  10.  148  sq.  rd.  8  sq.  yd. 
11.  127  bu.  2  pk.  6  qt.         12.  2.54+  in.         13.  160.9347+  Km. 
14.  83.612  +  in2.        15.  40.4694  +  Ha.        16.  76.4526  m3.  nearly. 
17.  12.14  +  a.              18.  16.3295  M.  T.  nearly.  19.  160  HI. 
20.249.834  +  1.    21.  500  g.     22.  278.7068  m2.  nearly.     23.  20  HI. 
24.  1  Kg. 

Article  161.- 1.  $41.8874.             2.  $295.275.            3.  $63.975. 

4.  $2266.89  f- .       5.  38.4  Ib.       6.  $27000.       7.  $46.80.  8.  $85. 

9.  $1400.         10.  $3800.         11.  $10800.         12.  $75.  13.  $14. 
14.  8  hr.  20  min. 


Article  164.— 1.  259.       2.  156.      3.  207.      4.  99.2.       5.  65. 

6.  3.3.     7.  7.25.    8.  .21.     9.  199.    10.  420.     11.  42.    12.  .5188  +. 

13.  6400.         14.  Tjhy.         15.  396  bu.         16.  5  da.  22  hr.  48  min. 
17.  48  ct.      18.  355  A.     19.  1  T.  11  cwt,  80  Ib.      20.  3  gal.  3  qt. 
1  pt.     21.  3  bu.  2  pk.      22.  58  gal.     23.  ^    24.  TV     25.  2?. 
26.  144.0285. 

Article  165.— 1.  12.      2.  75.     3.  17.     4.  75.    5.  75.    6.  16. 

7.  44.     8.  200.     9.  1000.     10.  75.     11.  125.     12.  .2.     13.  22£. 

14.  m.       15.  .02.       16.  36J.       17.  40.       18.  150.        19.  150. 
20.  60. 


Article  166.— 1.  70.  2.  225.  3.  63000.  4.  175.  5.  320. 
6.  5f  7.  390.  8.  75.  9.  2666f.  10.  17.5.  11.  242. 
12.  If.  bu.  2  pk.  4  qt.  13.  3  da.  11  hr.  20  min.  14.  18  gal.  3  qt. 
15.  82  T.  16.  23  A.  20  sq.  rd. 

Article  167.— 1.  1300.  2.  400.  3.  555.  4.  1295.  5.  150. 
6.  37.5.  7.  f.  8.  20.  9.  6f.  10.  42000.  11.  55|,  12.  30.4. 

Article  169.— 1.  $1900.  2.  95.  3.  16.  4.  128.  5.  $1600. 
6.  456.  7.  150  ft.  8.  48  A.  9.  600  A.  10.  160  A.  11.  400  A. 
12.  1728  mi.  13.  5  ft.  6  in.  14.  42  Ib.  Troy.  15.  1  oz.  8  pwt. 


ANSWERS.  207 

16  gr.  16.  2580  gr.  17.  1260  oz.  18.  550  bu.  19.  13J  wk. 
20.  620.  21.  74$.  22.  46000  doz.  23.  365.  24.  15$. 
25.  \  $.  26.  126  A.  27.  105.84  A.  28.  294  A.  29.  1395  bu. 
30.  175  A.  31.  637  T.  10  cwt. 

Article  172.— 1.  $98.50.       2.  $2717.  3.  1}  $.  4.  2}  $. 

5.  $58.50.         6.  $1068.         7.  $210.20.  8.  $1275.  9.  $20. 

10.  $47045.  11.  $45.  12.  $218.875.  13.  1J$.  14.  $15. 
15.  $462612.50. 

Article  173.— 1.  $1254.        2.  $2880.        3.  $850.        4.  $2750. 
5.  $2750.     6.  $326.     7. 


Article  174.— 1.  $42.  2.  $3.75.  3.  $370.  4.  $15.  5.  $294. 
6.  6|  %.  7.  6  fa  8.  20  fa  9.  25  $.  10.  70}  $.  11,  77 J  $. 
12.  220  $.  13.  20  fa  14.  25  $.  15.  33J  $.  16.  $1.25. 
17.  6}  %.  18.  20  fa  19.  16}  $.  20.  3/r  fa  21.  $1340. 
22.  10  ct.  a  yd.  23.  $7843.14  nearly.  21  $8163.27. 

25.  $8160.     26.  $7840.     27.  166}  fa     28.*  $3171.875.     29.  25  fa 
30.  66}  $. 

Article  175.— 1.  7^  $.  2.  $817.50.  3.  $60.  4.  28  fa 
5.  $8791.20.  6.  $250.  7.  12%.  8.  40$.  9.  $4620.  10.  25$. 
11.  5ft  %.  12.  5  fa  13.  37i  fa  14.  33J  $.  15.  25  fa 

Article  177.— 1.  J  fa  2.  ft  $.  3.  $117.  4.  ft  $. 
5.  $12.25.  6.  250.  7.  $1378.  8.  $66.25. 

Article  178.— 1.  $1950.        2.  $172.50.       3.  2240.      4.  30$. 

5.  $261.     6.  7J  fa     7.  $1680.     8.  350. 

Article  179.— 1.  $3555.    2.  $35770.    3.  $6210.    4.  52.     5.  532. 

6.  i  fa        7.  $112.50.        8.  98/Tct.        9.  41}  fa       10.  $1431. 
11.  $1439.94.     12.  216.     13.  $1590. 


208 


RAY'S  NEW  TEST  EXAMPLES. 


Article  180.— 1.  $468.  2.  10  ft.  3.  £444.  4.  70.  5.  $294. 
6.  $300.  7.  $100.  8.  $91.80.  9.  80  %.  10.  60  fi.  11.  120  %. 
.  12.  4[J-  fi.  13.  24  %.  14.  $3. 

Article  183.—  1.  $45.  2.  $45.  3.  $7.20.  4.  $240.  5.  $273. 
6.  55  ct.  7.  $608.40.  8.  $80.  9.  $9185.72.  10.  *526.40. 
11.  $963.50.  12.  $1088.91.  13.  $70.56.  14.  $39.60.  15.  $270.03. 
16.  $1428.16.  17.  $438.25.  18.  $816.52.  19.  $500. 

20.  $1073.40.  21.  $180.  22.  $12.  23.  $18000.  24.  $18.08. 
25.  $3.60.  26.  $1.10.  27.  £80.76.  28.  $20.09.  29.  $31.76. 
30.  $13.34.  31.  $198.75.  32.  $976.50.  33.  $487.  34.  $600.855. 
35.  $4179.15.  36.  $380.87.  37.  $3.  38.  $1.65.  39.  $1.16. 
40.  20  ct.  41.  $1.72.  42.  $4.41.  43.  $4747.90.  44.  $6.02. 
45.  $480.80.  46,  $16265.60.  47.  $388.275.  48.  $475.67. 
49.  $87.  50.  $39.75.  51.  $73.20.  52.  $119.20.  53.  $83.50. 
54.  $223.425.  55.  $150.70.  56.  $455.41.  57.  $512.  58.  $879. 
59.  $846.25.  60.  $1404.16.  61.  $556.76.  62.  $97.19. 

63.  $1696.27.  64.  $5622.65.  65.  $130.76.  66.  $76.85. 
67.  $19.20.  68.  $57.76.  69.  1383.47.  70.  $278.42.  71.  $109.13. 
72.  $8258.90.  73.  $696.72.  74.  $549.28.  75.  $630.45. 
76.  $430.42.  77.  $507.74.  78.  "$787.35. 


Article  184.— 1.  $.062.       2.  $.097.  3.  $.294J. 

5.  $.250J.       6.  $.609£.        7.  I.480J-.  8.  $.239|. 

10.  $.07.        11.  $.061J.        12.  $.07.  13.  $.016. 

15.  $.042¥V      16.  $.020J.      17.  $.02^.  18.  $.002f 
20.  $.078J. 
25.  $88.50. 


21.  $.080f. 
26.  $77.04. 

30.  $16.87.  31.  $55.80. 
35.  $4844.44.  36.  $6.38. 
40.  $1018.36.  41.  $105.71.  42.  $6712.60.  43.  $3. 
45.  $86.32.  46.  $1365.  47.  $63.58.  48.  $631.94. 
50.  $110.08. 


22.  $.38.        23.  $.420| 
27.  $78.12.     28.  $245. 
32.  $14.75.     33.  $15.48. 
37.  $.31.    38.  $1460.70. 


4.  $439f. 
9.  $.0225. 
14.  $.023i. 
19.  $.14. 
.       24.  $13. 
29.  $191.59. 
34.  $80.48. 
39.  $756.16. 
44.  $439.80. 
49.  $809.65. 


Article  185.—  1.  3  yr.  2.  2  yr.  6  mo.  3.  2  yr.  2  mo. 
4.  25  yr.  5.  12  yr.  6  mo.  6.  2  yr.  6  mo.  7.  20  yr.  8.  5  yr. 
8  mo.  9.  2  mo.  20  da.  10.  1  yr.  7  nio.  6  da.  11.  11  yr.  1  mo. 


ANSWERS.  209 

10  da.     12.  3  yr.  1  mo.  15  da.     13.  3  yr.  4  mo.     14.  12  yr.  6  mo. 
15.  3  mo.  6  da.       16.  6  yr.  3  mo.       17.  31  yr.  3  mo.       18.  1  y.r. 

11  mo.  21  da.     19.  1  yr.  10  mo.  6  da.     20.  3  mo. 

Article  186.— 1.  6  ft.  2.  8  ft.  3.  6  ft.  4.  5  <[c.  5.  8J  <f0. 
6.  5  ft.  7.  8  %.  a5  <fc.  9.  8  %.  10.  30  <fc.  11.  72  ft. 
12.  6f  <&.  13.  3J  ft.  14.  4  <fc..  15.  4J  %.  16.  120  ft. 
17.  4|i  fc.  18.  2J  fc.  19.  3  fc,  20.  4J  f,. 

Article  187.— 1.  $260.         2.  $725.         3.  $200.        4.  $24500. 

5.  $17600.         6.  $90.         7.  $720.         8.  $4500.         9.  $1964.40. 
10.  $424.80.     11.  $612.     12.  $360. 

Article  188.— 1.  $600.     2.  $800.    3.  $180.    4.  $120.     5.  1135. 

6.  $45.     7.  $410.     8.  $150.     9.  $197.50.     10.  $175.     11.  $242.50. 
12.  $880. 

Article  190.—  1.  $441.  2.  $693.  3.  $491.30.  4.  $629.86. 
5.  $138.66.  6.  $137.92.  7.  $67.42.  8.  $563.26.  9.  $339.72. 
10.  $17.20.  11.  $31.38.  12.  $1040.60.  13.  $4.86.  14.  $5.51. 

Article  191.— 1.  $595.40.  2.  $596.75.  3.  $252.  4.  $1052.64. 
5.  $2004.  6.  $312.75.  7.  $1834.87.  8.  $242.80. 

Article  192.— 1.  $455.76.  2.  $464.40.  3.  $605.  4.  $605. 
5.  $677.97.  6.  $465.93.  7.  $915.06.  8.  $623.42. 

Article  193.— 1.  $218.10.  2.  $14.70.  3.  $110.50.  4.  $2.32. 
5.  $3.30. 

Article  196.— 1.  Sept.  6-9;  $4.20,  $395.80.  2.  June  16-19; 

$9.30,  $440.70.     3.  July  17-20;  $9.30,  $390.70.  4.  Sept.  14-17; 

$6.04,  $513.96.     5.  Sept.  16-19;  $8.37,  $531.63.  6.  April  25-28; 

$1.26,  $78.74.      7.  April  15-18;     $1.86,  $178.14.  8.  Oct.  19-22; 

R.  T.  E.— 14. 


210  RAY'S  NEW  TEST  EXAMPLES. 

$6.12,  $473.88.  9.  Jan.  13-16;  $4.92.  $315.08.  10.  April  26-29; 
$18.54,  $791.46.  11.  Aug.  28-31 ;  53  ct.,  $88.87.  12,  Feb.  18-21 ; 
50  ct.,  $13.43.  13.  Dec.  5-8;  $5.89,  $394.10.  14.  Mar.  17-20; 
$20.30,  $1102.03.  15.  Nov.  18-21,  1880;  92  da.,  $6.13,  $393.87. 
16.  Oct.  24-27, 1870 ;  83  da.,  $13.83,  $486.17.  17.  April  19-22, 1880; 
66  da.,  $3.30,  $446.70.  18.  Jan.  12-15, 1876 ;  55  da.,  $5.50,  $714.50. 
19.  Aug.  19-22,  1877;  57  da.,  $2.28,  $357.72.  20.  Aug.  17-20, 
1877;  55  da.,  $2.20,  $357.80.  21.  July  11-14,  1875;  41  da.,  $8.03, 
$775.26.  22.  April  16-19,  1884;  66  da.,  $6.74,  $401.46.  23.  April 
13-16,1846;  44  da.,  $8.12,  $730.48.  24.  Nov.  9-12, 1884;  121  da., 
$25.71,  $611.79.  25.  July  16-19,  1883;  180  da.,  $18.75,  $450. 

26.  Sept.  14-17,  1888;  63  da.,  $71.08,  $5006.42.  27.  May  1-4, 
1880  ;  110  da.,  $14.71,  $466.78. 

Article  197.— 1.  $500.        2.  #600.        3.  $750.        4.  $804.02". 
5.  $1016.    6.  $60.     7.  $120.     8.  ^2000. 


Article  199.— 1.  $375;  $75.  2,  $625;  $275.  3.  $500;  $185. 
4.  $720;  $90.  5.  $300;  $59.  6.  $420;  $28.70.  7.  $420; 
$202.30.  8.  $280;  $93.10.  9.  $420;  $196.21.  10.  $583.70; 
$304.30.  11.  $186.  12.  $77.  13.  $22.80.  14.  $100.10. 
15.  $21.21.  16.  $436.90.  17.  $276.43.  18.  £31.53.  19.  $4.48. 
20.  56  ct.  21.  $240.  22.  $60.  23.  $431.  24.  $1621.60. 
25.  $1738.18. 


Article  201.— 1.  $4709.40.  2.  $726.35.  3.  $4952.47. 

4.  $1356.60.  5.  $375.71.  6.  $2359.67.  7.  $994.50.  8.  $989.50. 
9.  $2379.40.  10.  $1482.  11.  $800.  12.  $800.  13.  $1892.21. 
14.  $1002.51. 

Article  202.—  1.  $3853.85.        2.  $1384.70.         3,  £1093  10  s. 

4.  4224.75  fr.      5.  $980.      6.  $1152.      7.  $'916.79.      8.  4145.08  m. 

Article  204.—  1.  $33.60.        2.  $84.        3.  $92.        4.  $61.50. 

5.  $8800.     6.  f .    7.  -|  ft. 


ANSWEKS.  211 

Article  205.— 1.  $193.08.  2,  $25.50.          3.  Son,  $18.60. 

4.  $2854.712. 

Article  208.— 1.   2|  mills  on  $1.  2.    23  mills  on  $1. 

3.  $2640000.     4.  6.08  mills  on  $1. 

Article  209.— 1.  2.56  mills  on  $1.        2,  $22.20.  3,  $15.86. 

4.  $16.63.     5,  $5.85.     6.  $7.17.      7.  $7,67.     8.  $4.03.  9.  25.324 
mills.      10,  $22.13.      11.  $4927.04.      12.  $35927.67.  13.  $2.13. 
14.  $21.48.     15.  $214.85.     16.  $2148.69. 


Article  211.— 1.  $33.60.  2.  $54.60.  3.  12  ct.  4.  94  ct. 
5.  24  ct.  6.  30  ct.  7.  15  ct.  8.  15  ct.  9.  $3.84.  10.  $32.40. 
11.  $10.  12,  $584.  13.  375.  14.  750. 

Article  212.— 1.  $103.  2.  $19.20.  3.  $375.  4.  $25.20. 
5.  $26.90.  6.  $1869.65.  7.  $207.  8.  $153.72.  9.  $651.22. 
10.  $1834.64.  11.  $14583.80.  12.  $1536.50.  13.  $803.  14.  $606.60. 


Article  214.— 1.  20.  2.  10.  3.  24.  4.  5-Jf  5.  6f.  6.  TV 
7.  2J.  8.  If.  9.  f.  10.  28.  11.  4J.  12.  3f.  13.  6Jf. 
14.  A.  15.  ¥4T.  16.  TH-  17.  60.  18.  2f|.  19.  80.  20.  75. 
21.  27|.  22.  db.  23.  56.  24.  196jf. 

Article  215.— 1.  700.  2.  28000.  3.  3321.  4.  £f.  5.  52J. 
6.  17.48.  7.  27.95.  8.  76  A.  128  sq.  rd.  9.  4  yd.  10  in. 
10.  5  wk.  3  da.  12  hr. 


Article  216.— 1.  19.6.      2.  42.5    3.  f.     4.  f.     5.  2  pk.  5  qt. 

1  pt,     6.  275  gal.     7.  29  min.  20  sec.     8.  165  liters. 


Article  217.— 1,  4J.    2.  21.     3.  f.     4.  1J.     5.  20.     6.  168. 
7.  22.    8.  9. 


212  KAY'S  NEW  TEST  EXAMPLES. 

Article  219.— 1.  5:4.  2.7:3.  3.7:3.  4.111:11.  5.11:5. 
6.4:3.  7.4:13.  8.7:11.  9.4:3.  10.216:7.  11.16:1. 
12.  1:6. 

Article  220.— 1.  105:64.  2.  201:28.  3.  135:52. 

4.  280:207.     5.  20:27.     6.  16:15.     7.  8:3.     8.  6:5. 

Article  223.— 1.  68.  2.  21.  3.  8.  4.  96.  5.  13f.  6.  82J. 
7.  64f.  8.  64f.  9.  H-  10.  86.4.  11.  28.  12.  4.  13.  10J. 
14.  3  cwt,  44  Ib. 

Article  224.—  1.  $1025.  2.  $93.  3.  $6250.  4.  $45.50. 
5.105.  6.  $4387.50.  7.  $129.60.  8.  $98.  9.  $3.23.  10.  $184. 
11.  $65.80.  12.  138  hr.  13.  36  wk.  14.  113T7T  bu.  15.  80  hr. 
16.  25f  mi.  17.  2|  qt.  18.  54  sec.  19.  7  T.  10  cwt.  20.  32. 
21.  280  bu.  22.  1260  bu.  1  pk.  23.  2  Ib.  3  oz.  24.  6600. 
25.  50£  mi.  26.  48  C.  27.  106  A.  40  sq.  rd.  28.  55  yd. 
29.  105.  30.  140.  31.  56  ct.  32.  84  ct.  33.  $536.  34.  $40. 
35.  45  da.  36.  $1.45.  37.  $675.78.  38.  $30.60.  39.  572. 
40.  $43.20.  41.  $126.50.  42.  140  cu.  ft.  43.  232J  Ib.  44.  $16. 
45.  592.  46.  1140.  47.  $7980.  48.  20J  ct.  49.  192.  50.  882. 
51.  648.  52.  $587.25.  53.  A  ™-  54.  3  min.  48  sec.  55.  137 
hr.  15  min.  56.  18.  57.  $16.68.  58.  11  T.  59.  $389.43. 

Article  225.—  1.  $118.80.   2.  18.   3.  12  da.   4.  $2400. 

5.  24  lots.   6.  18  rd.   7.  10|  rd.  *  8.  $57.76.   9.  22  cows. 
10.  151  bu.  1  pk.  11.  1100  mi.  12.  5120  books.  13.  16  rabbits. 
14.  10  cats.   15.  $7175.   16.  2  Ib.  10  oz.   17.  $450.   18.  2:1. 
19.  $134.75.  20.  60  men.  21.  $89.76.   22,  $28.97.  23.  160. 
24.  6  men.  25.  13  hr.  7  min.  30  sec.  26.  $952.50.  27.  $168.75. 

Article  226.— 1.  1st.,  $937.50;  2d.,  $562.50.  2.  A.  $1062.50; 
B.  $937.50.  3.  A.  $63  ;  B.  $56;  C.  $91.  4.  1692  and  2256. 
5.  2256  and  1692.  6.  987,  1316  and  1645.  7.  1680,  1260  and 
1008.  8.  9.48  and  10.08.  9.  3.92  and  .005.  10.  A.  $32.40 ; 
B.  $43.20.  11.  $600,  $540,  $300.  12.  First  society,  $27.50 ; 
second,  $16.50.  13.  A.  $10.13;  B.  $9.49;  C.  $12.66;  D.  $6.96; 
E.  $10.76. 


ANSWERS.  213 

Article  227.—  1.  42  ct.     2.  26  ct.     3,  $141. 

Article  228.— 1.  General  Average  1£  ft.  2.  A.  75  bl. ;  B. 
60  bl. ;  C.  25  bl.  3.  $25.  4.  $1842.75. 

Article  229.— 1.  A.  $240;  B.  $540.  2,  A.  $80.05;  B.  $72.05. 
3.  A.  $990  ;  B.  $1320.  4.  A.  $240 ;  B.  $216 ;  C.  $120.  5.  A.  $184 ; 
B.  $230.  6.  A.  $69.30 ;  B.  $148.50.  7.  A.  $2100  ;  B.  $2205. 
8.  $212.50. 

Article  230.—  1.  3  mo.  6  da.  2.  5  mo.  3.  8  mo.  4.  4  mo. 
5.  10  da.  6.  90  da.  7.  29  da.  8.  8  da.  9.  May  15. 
10.  10  mo.  11.  Aug.  14.  12.  May  3.  13.  Sept.  2.  14.  April  5. 
15.  April  1.  16.  Nov.  20. 

Article  232.— 1.  11  ct.  per  Ib.       2.  $6.80  per  oz.       3.  26  ct. 

per  Ib.  4.  $1.80  per  gal.  5.  $1.80  per  gal.  6.  9  min.  23H  sec. 
7.  29.87  in.  8.  5  ft.  7  in.  9.  12  mi.  205  rd.  per  hr.  10.  12 
meetings.  11.  16  members.  12.  321  sq.  ft. 

Article  234.— 1.  6561.  2.  32768.  3.  390625.  4.  286.29151. 
5.  4802.49.  6.  166.375.  7.  1785^.  8.  4173.281.  9.  9823^T- 
10.  3|§fJ.  11.  95481.  12.  2919.2409.  13.  36T2&.  14.  iff. 
15.  2&V  16.  228ff  17.  915&.  18.  36rfflfo.  19.  1938^. 

20.  46656.  21.  1953125.  22.  1157625.  23.  2370Jf 

24.  6967.871.         25.  41781923.         26.  ¥WfV         27.  1124.864. 
28.  1076ft.     '  29.  68574961.         30.  1477.6336.        31.  12155^. 
32.  1234567 Jf.          33.  4978.7136.          34.  614656.          35.  ffjfi 
36.  55277^.    37.  IS&fcVr-     38.  16850581551.     39.  16455646^. 
40.  12762815625.         41.  10648.         42.  272.25.         43.  90266}$. 
44.  6967.871.    45.  14641.    46.  llfj. 

Article  238.— 1.  12.  2.  38.  3.  88.  4.  25.  5.  75.  6.  125. 
7.  175.  8.  225.  9.  425.  10.  1.1.  11.  3.9.  12.  103.  13.  97. 
14.  24.  15.  74.  16.  0-i.  17.  14J.  18.  35f  19.  7TV  20.  ff. 

21.  3.53553  +  .     22,  81.62277+.      23.  2.28035+.     24.  4.01248+. 

25.  16.0312+.     26.  5.06951 +.     27.  3.47706+. 


214  RAY'S  NEW  TEST  EXAMPLES. 

Article  239.— 1.  35.  2.  48.  3.  64.  4.  105.  5.  72. 
6.  135.  7.  150.  8.  375.  9.  11.2. 

Article  240.— 1.  75.     2.  9  ft.      3.  28  ft.     4.  65  ft.    5.  85  ft. 

6.  48  ft.        7.  53  ft.        8.  96  ft.        9.  84.8528+  ft.        10.  5  in. 
11.  219  mi.      12.  122  ft.       13.  56.5685+  ft.       14.  92.1954+  mi. 
15.  255  mi. 

Article  241.— 1.  240  rd.  2.  17  rd.  3.  60  rd.  4.  40  rd. 
5.  3613  rd.  6.  60  rd. 

Article  244.—  1.  24.     2.  43.      3.  63.  4.  74.     5.  68.     6.  39. 

7.  205.        8.  513.       9.  907.       10.  85.3.  11.  6.56.        12.  .313. 
13.  1.4422+.       14.  6.6943+.       15.  .213.  16.  .0129.       17.  s4r. 
18.  .7368+.     19.  .34199+.     20.  .15874+.  21.  8f.     22.  .85498+. 

Article  245.  - 1.  1  ft.  11  in.  2.  14  ft.  3.  125.  4.  91125. 
5.  5^  in.  6.  1  ft.  3.119+  in. 

Article  247.— 1.  45  sq.  yd.             2.  60  A.  3.  250  sq.  ft. 

4.  165  A.        5.  10  A.        6.  32  A.        7.  80  sq.  yd.  8.  40.5  in2. 

9.  146  sq.  yd.  6  sq.  ft.          10.  22  A.  11.  1440.  12.  90  A. 
13.  40  yd.     14.  13  ft.  6  in.     15.  12  yd. 

Article  248.—  1.  270  sq.ft.    2.  10  A.  128  sq.  rd.    3.  10800  sq.ft. 

Article  249.— 1.  400  sq.  ft.  2.  880  sq.  yd.  3.  4  sq.  yd. 
4.  2400  sq.  ft.  5.  2400  sq.  ft.  6.  6  A.  140  sq.  rd.  7.  1734  sq. 
yd.  8.  1170  sq.  yd.  9.  8  A.  64  sq.  rd. 

Article  250.—  1.  37  A.  80  sq.  rd.  2.  2450  sq.  ft.  3.  48  sq.  rd. 
4.  $36000. 

Article  251.— 1,  B2.832  ft.  2.  6.366  +  ft.  3.  163.3632  ft. 
4.  282.744  ft.  5.  1  ft.  5.825  +  in.  6.  54.1125  +  rd.  7.  1  mi. 
214.072  rd.  8,  70  ft.  8.232  in. 


ANSWERS.  215 

Article  252.— 1.  1963.5  sq.  ft.  2.  340  sq.  ft.  127.5  sq.  in. 

3.  9.62115  sq.  in.    4.  1256.64  sq.  yd.    5.  33.85+  ft..    6,  26.58+  ft. 

7.  5026.56  sq.  ft.     8.   141.372  sq.  rd. 

Article  254.—  1.  432  sq.  ft,  2.  40  sq.  ft.  3.  64  sq.  ft. 

4.  41  sq.  ft.  104.31  sq.  in.     5.   1  sq.  ft.  19.3632  sq.  in.     6.  92  sq.  ft. 
143.07  sq.  in. 

Article  255.—  1.  40  cu.  in.        2.  200  cu.  in.        3,  25  cu.  ft. 
4.  10  in.     5.  1  cu.  ft.     726.375  cu.  in.     6.  2  ft.  1  in. 

Article  256.— 1.   12  sq.  ft.       2.  1  sq.  ft.  6.7968  sq.  in.      3.  10 
sq.  ft.  130.8  sq.  in.     4.  17  sq.  ft.  65.28  sq.  in. 

Article  257.— 1.  36  cu.  ft.      2.  768  cu.  in.      3.  83.776  cu.  ft. 

4.  139  cu.  ft.  1082.88  cu.  in.     5.  366.69  +  cu.  in. 

0 
Article  258.— 1.  1520.5344  sq.  in.  2.  201.0624  sq.  ft. 

3.  19089068.46  sq.  mi.     4.  317  sq.  ft.  54  +  sq.  in. 

Article  259.— 1.  285  cu.  ft.  328  +  cu.  in.     2.  19  cu.  ft.  678.4 
cu.  in.     3.  5884962406.4  cu.  mi.     4.  450  T.  5  cwt.  92  Ib. 

Article  260.— 1.  $15.64.      2.  $4.16.        3.  $13.35.    4.  $24.61. 

5.  $212.22.     6.  $369.45. 

Article  261.— 1.  15  ft.        2.  56  ft.        3.  125  ft.        4.  400  ft. 
5.  896  ft.     6.  39  ft. 

Article  262.— 1,  32000.        2.  72.        3.  $420.        4.  $637.24. 
5.  44800.     6,  $324. 

Article  263.— 1,  585  bu.        2,  1446 £  bu.        3.  187  bu.  2  pk. 

4,  401  bu.  nearly.          5.  646.272  bu.        6.  512  gal.       7.  165  bu. 

8.  3166.7  +  gal.      9.  5184  bl.      10,  $113.98. 


216  RAY'S  NEW  TEST  EXAMPLES. 

Article  265.—  1.  960.     2.  580.     3.  $480.     4.  782.     5.  700  ft. 
6.  .003604. 

Article  266.— 1.  7.     2.  126.     3.  37.     4.  60  ct.     5.  54. 

Article  267.— 1.  840.     2.  $6750.      3.  530.     4.  330.     5.  4815. 
6.  4185.     7.  13635.     8.  660. 

Article  269.— 1.  135.     2.  375.     3.  .375.      4.  ^     5.  87480. 

Article  270.— 1.  6138.        2.  765.       3.  llfj,        4.  3.       5.  9. 

6.  A. 

Miscellaneous  Examples. 

1.  A.  2.  H.   3.  A.   4,  $96.88.   5.  $14.85.   6.  42  da. 

7.  $32.   8.  $61.20.   9.  $471.44.   10,  3514.24  fr.   11.  $176.40. 
12.  $63£.   13,  $164.14.   14,  25  sq.  ft.  19.1232  sq.  in.  15.  $250. 
16,  5  bu.   17.  $40.84.   18,  $369.53.   19.  $64.58.   20.  $462. 
21.  15.31  +  yd.    22.  $348.40.    23.  $64.68.    24.  $1100. 
25.  A.  $234,  B.  $312.   26.  $6250.   27.  ig,  £&  $#.   28.  $70. 
29.  1266.    30.  $51.45.    31.  432  g*l.    32.  6  A.  28.4  sq.  rd. 
33.  33 J  %.  34.  $36.  35.  54  %.  36.  1  A.  123  sq.  rd.  12  sq.  yd. 
5  sq.  ft.  107  sq.  in.     37.  2305.     38.  502.656  ft.    39.  77. 
40.  1\  bu.    41.  174240  min.    42.  44  sq.  yd.    43.  $47.63. 
44.  $134.09.    45.  $4.83.    46.  $100.80.   47.  10  cwt.  50  Ib. 
48.  $487.50.  49.  25  %.  50.  110.23  Ib.  51.  $78.74.  52.  5  bu. 
3pk.6qt.  53.  $202.50.  54.5ft.  55.  838.1  fr.  56.fi.  57.  $14000. 
58.  9  hr.   59.  $166.60.   60.  $78.75.   61,  3600.   62.  420  bu. 
63.  July  13.      64.  392.7  sq.  in.      65.  £M,  ff§,  JJ4,  ft*- 
66.  16  doz.    67.  $668.    68.  Gain  \\  ft.    69.  $158.40. 
70.  36.576  +  m.   71.  567.   72.  12.   73.  $734.68.   74.  3J  %. 
75.  1478.4  Kg.    76.  $12  a  yd.    77.  $2367.63.    78,  $2.50. 
79.  $613.33.   80.  A.  $2200,  B.  $1672.   81.  $121.38.   82,  if 
83.  $1702.12.  84.  1152  times.  85.  $51.19.  86.  $320.  87.325. 
88.  3  gal.  89.  1256.64  sq.  yd.  90.  408J,  91.  125  C.  92.  106. 
93.  904.7808  cu.  in.  94.  $3.33.   95.  y^.   96.  16  A.  40  sq.  rd. 


ANSWERS.  217 

97.  $66.  98.  10A  ft.  99.  £27.16.  100.  $87.  101.  $22.50. 
102.  TVo-  103.  $435.60.  104.  $205.16.  105.  £320.  106.  $18.77. 
107.  $849.42.  108.  3  pk.  109.  17  sq.  ft.  65.28  sq.  in. 
110.  189.268  -j-  1.  111.  31  yr.  3  mo.  112.  615.7536  sq.  in. 
113.  $564.10.  114.  24.72  +  rd.  115.  1\  ft-  116.  74000. 
117.  390600.  118.  1440  A.  119.  $20.20.  120,  $2625. 
121.  $38.54.  122.  2  yr.  9  mo.  20  da.  123.  &.  124.  10  mi. 
230  rd.  125.  48000.  126.  $148.50.  127.  f  f.  128.  21|g. 
129.  $6672.  130.  $60.  131.  $44.50.  132.  f  fi. 
133.  44602.3424  cu.  in.  134.  $180.25.  135.  720.  136.  6  mi. 
128  rd.  137.  $1620.  138,  176  bu.  139.  108.  140.  £1=$4.86J. 
141.  800.  142.  20.  143.  4  \vk.  6  da.  17  hr.  20  min. 
144.  A.  $33825 ;  B.  $20500.  145.  June  26,  1815.  146.  1  mi. 
80  rd.  147.  2  ft.  8  in.  148.  1  T.  7  cwt.  55  Ib.  149.  42}. 
150.  350  A.  151.  $540.  152.  2  yr.  4  mo.  25  da.  153.  $342.63. 
154.  125  da.  155.  Nov.  4.  156.  $4.  157.  35.  158.  22680  fr. 
159.  $945.25.  160.  $59.73.  161.  5575.2928  cu.  in. 
162.12.45P.M.  163.64%.  164.1307.18.  165.20178. 
166.  2  pk.  3  qt.  167  $1170.  168.  $3048.63.  169.  $315. 
170.  $480.  171.  6.25  Km.  172.  f.  173.  May  1,  1886. 
174.  8  mi.  240  rd.  175.  $590.40.  176.  21200  Ib.  177.  7fJ. 
178.  9  ft.  179.  45.  180.  82.024  +.  181.  21  Ib.  182.  11  rd. 
183.  6  hr.  58  min.  A.  M.  184.  $43.80.  185,  2m.  186.  A.  $700; 
B.  $650.  187.  $1103.60.  188.  $589.50.  189.  Aug.  26. 
190.  $2506.31.  191.  $496.87.  192.  $19.95.  193.  4  hr. 
10  min.  194.  $750.  195.  $4.50.  196.  476.  197.  June  17. 
198.  .06857  +,  199.  2  hr.  200.  $453.60.  201.  $3891.73. 
202.  16  m.  203.  $108.  204,  $918.  205.  1373  30'  W. 
Long.  206.  8  fc.  207.  July  20.  208.  3200.  209.  3262  gal. 
3qt.  210.  $285.  211.  H-  212.  56.5685 -frd.  213.  A.  $825; 
B.  $660.  214.  60  ft.  215.  $113.60.  216.  8  %. 
217.  2123.7216  sq.  in.  218.  H-  219.  405  cu.  ft.  220.  1&  % 
discount.  221.  Feb.  28,  1873.  222.  $800.  223.160. 
224.  20000.  225.  6  #.  226.  $4900.50.  227,  $671.55. 
228.  42  sq.ft.  78.12  sq.  in.  229.  A.  $275;  B.  $198.  230.  1413.72 
sq.  yd.  231.  AV  232.  36  ct.  233.  120.  234.  4J  #. 
235.  $2.50.  236.  $60.75.  237.  $6600.  238.  175. 
239.  6.32455  -f .  240.  52.3259  -f .  241.  1000.  242.  9  ft,  4  in. 


PENMANSHIP. 

THE  authors  of  the  series  of  Copy-Books  published  by  the  American 
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